Maths-
General
Easy
Question
If xn > xn–1 >...> x2 > x1 > 1 then the value of ![log subscript straight x subscript 1 end subscript invisible function application log subscript straight x subscript 2 end subscript invisible function application log subscript straight x subscript 3 end subscript invisible function application horizontal ellipsis log subscript straight x subscript straight n end subscript invisible function application x subscript n](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALcAAAAWCAYAAACCLg3UAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAuFJREFUeNrtW0FIG0EUHUSCiJcQRIo3D0VKEC8iIiIFkSISvPTQkxRBRHrwUPAsvUgPPZTeehCRUhARkVIECaH0FBAppZReehJPQhAPpYTC9n98S5ZxE0Mys/uN/8EjmdlZ9v3Z/3f+n02MqSEwMqG61A51ItWlzq1OpE6hzk2YJ/4kVvFZqHPuBPGE+Jf4m/jc4aSprvt535eImzH9r3CsLSPHITiPdh7tCWvcMPqn0B4ifvDoRKrLr3NLsuOUOBBpc/C8c2HkHiLYjugDq2+LuOxxuVNdyTq3JDueEN/g+wyx6MrIK2LG6sugP4oLYjZBJ1Jdfp1bmh3HxGniN2LOlZH1RFabHOfLiVSXX+eWZscarj2SRgT/IXYJfELeV12dZMck0iROTZ65zr3sKnmBuG/1HcUUG1nPua3q8ptzS7CDC9RDYi+xD7syztKSMVTDj9AeQXvSGjdH/IqqtgtFQBnbQyF6IC6sfEOxfarLqa7A0nVbW6od/cTPljNzUbtTZ/wvHD9BCrPezHIyjxP5hB+I4DjwvuM5xpUxQfYyNhOJ/k1s67QSdKrLr3OnbUcG4wdjjn1EEEXBgfUPjs/njBIrPpe6gTrbNu+JLzERaUB1dZ4d43hiR/P0ossLHCJqGQ/QjovQUTwp5hKabNXV+XZwoblttbdcXuAp8bupvYZdazAZG4jkKLgwKXkwvF1dq1hmz8zNFxtp6gqwFHPOO52ic7drhwu8Ja5Y7aWkJ6IQMW4XuViIYoq7BY10vUYOOIXcUoquEA+Jl8JTlWbsaAf71opwkPRK14sIz0WWsFNU040KGwm6GN3WLoAUXbPYupOK2+zge75ort92Flq8RsWal0rMPKUOyT+9fGFqv3GQNF/8Srrf3F0EKDRzCT881LmBx8gZuwVq46felw6554E6d7LgnPaTufk6WhKq6tzq3K2gBAeXikXktOrcwo0MBBoYCNUW6uF/yYypc8fjPxIJkJOhe0fpAAACBnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3ViPjxtaT5sb2c8L21pPjxtc3ViPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MTwvbW4+PC9tc3ViPjwvbXN1Yj48bW8+JiN4MjA2MTs8L21vPjxtc3ViPjxtaT5sb2c8L21pPjxtc3ViPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbXN1Yj48bW8+JiN4MjA2MTs8L21vPjxtc3ViPjxtaT5sb2c8L21pPjxtc3ViPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW4+MzwvbW4+PC9tc3ViPjwvbXN1Yj48bW8+JiN4MjA2MTs8L21vPjxtbz4mI3gyMDI2OzwvbW8+PG1zdWI+PG1pPmxvZzwvbWk+PG1zdWI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5uPC9taT48L21zdWI+PC9tc3ViPjxtbz4mI3gyMDYxOzwvbW8+PG1zdWI+PG1pPng8L21pPjxtaT5uPC9taT48L21zdWI+PC9tYXRoPs5Ru2EAAAAASUVORK5CYII=)
is equal to-
- 0
- 1
- 2
- None of these
The correct answer is: 0
![log subscript x subscript 1 end subscript end subscript invisible function application blank](data:image/png;base64,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)
...
![open parentheses x subscript n minus 1 end subscript to the power of x subscript n minus 2 end subscript superscript. to the power of. to the power of. x subscript 1 end subscript end exponent end exponent end superscript end exponent log subscript x subscript n end subscript end subscript invisible function application x subscript n end subscript close parentheses](data:image/png;base64,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)
=
= 1
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The velocity-time graph of a particle moving along a straight line is shown in figure. The displacement of the body in 5s is
![](data:image/png;base64,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)
The velocity-time graph of a particle moving along a straight line is shown in figure. The displacement of the body in 5s is
![](data:image/png;base64,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)
physics-General
maths-
Let f x( ) and g x( ) are defined and differentiable for
and
then
Let f x( ) and g x( ) are defined and differentiable for
and
then
maths-General
maths-
In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is
![](data:image/png;base64,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)
In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, find the values of ‘x’ and ‘y’
![](data:image/png;base64,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)
In the given figure, find the values of ‘x’ and ‘y’
![](data:image/png;base64,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)
maths-General
maths-
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= ° 35 , then the value of PSR is
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W0t7eHO8WGDRueuR/v2xAIBFhcXGRycpKmpiYqKiq4cOECLpcLk8lEaWkpBw4cYMeOHSQnJ993WaTRaEhPT+eFF17gnXfeoaOjgwsXLhAbG0t0dDTFxcUkJyejUqn4/PPPaWtrY2ZmhuXlZRQKBRs2bECpVD5bs7TwnODz+YRPP/1UOHbsmGA0GoXExEThrbfeElpaWoTZ2VkhEAgIgiAIoVBI+PWvfy0UFRUJERERwq9+9SuhqalpjVv/+JmenhbOnTsn/OxnPxPS09MFpVIp6HQ64dChQ8Lbb78t9Pf3C8vLy+Hn9CCWl5eFvr4+4cCBA4LZbBa2bNkiNDY2Cl6vVwiFQkIwGBRmZmaEjz/+WDh8+LBgsViExMRE4c033xS6uroEt9v9hL7xo0HyD//wD/+w1iL9LoRCIVwuFx988AEffvgh9fX16PV6XnnlFX70ox+RlZWFWq1GIpHg8/no6uri1KlT3Lx5k+TkZF599VWKi4tRKBRr/VUeOcFgkOnpaSorK3nvvff44IMPqK+vRxAEioqK+OlPf8oPfvADiouLiY2N/Uaju1gsRqlUMjo6ytTUFCMjI+F8F4vFgkgkQiaTYTQasdlsYbPxwMBAOL8+KirqmYlOeKaXWKFQiLGxMerr6/nwww9pa2tDpVJx8OBBXnzxRYqLi8M/hPDFpvTy5cs0NzcjEonYt28fGzduRK9/vmqPhkIhJicn6e/vp7W1lStXrtDQ0MD8/DyJiYnk5+dTXl7O1q1biY2N/VadVSKRoFQq2b59O0NDQ/T29nL+/HmSkpJISUkJF5eIiYnBYDDg8/mQSqVUVVXx+eefhweisrIyFArF0795X+sp7LuwsLAgfPLJJ0J5eblgMpmEzMxM4S//8i+F27dvC36//673+nw+obe3Vzh06JBgsViE0tJS4ebNm8LCwsIatf7REwwGBa/XG17i/PSnPxWsVqugVCqF6Oho4ciRI8Lx48cFh8MhhEKh7/RZHo9HePvtt4WEhARBo9EIf/d3fyc4HA4hGAze9b5QKCRcvHhR+PnPfy6YTCbBYrEIr7/+utDe3i4sLi5+53Y8bp7JJZbwRdTuxx9/zPHjx7l58yZJSUm88sor/OxnPyMhIeGeUOzBwUEuXrzI6dOnMRgM7Nmzh8OHD6PT6Z6tTeMqjI2NUVlZyT//8z/z4Ycf0tzcjFgsZvfu3fz5n/85P/nJT8jPz8dkMn1n34RYLMbv9+P3++nu7iYUCqFSqcjKyrprVhCJRBgMBuLj4xGJRExNTdHf309PTw8pKSlYrdan2k/y9LZsFVYCCT///HNaW1sxm81hH0dmZuY90/bKj/jZZ58xMzPDnj172LNnDzqd7umf4r8Gn8+H0+mktbWV+vp6bty4QWNjI1KplOzsbOx2OyUlJeTl5REfH//Iom7FYjHJycns3buXq1evMjAwwOXLl9m9ezdRUVF3pR0bjUZycnLCJYuqqqqoqqoiJSUFgJKSkqd2kHrmBOJyuejp6eHdd9+ltrYWkUjE7t27+eEPf8iGDRvu2+GdTictLS1UV1ejVqvDneZZDdEWvsjdWFxcZHR0lJaWFj755BPq6uqYm5vDYrFQWlrKoUOH2L17N5GRkY9lILBarRQVFZGfn8/FixfDpY9KSkruSSzT6XTs2LEDj8eDz+fj/fff5+TJk8hksnCBi6fx93jmBNLZ2cmJEyc4efIkERERHDhwgL/+678mJibmgZ3g6tWr1NbWEgwG2bNnDwUFBWi12mfW7xEKhVhYWOD8+fOcOnWKq1ev4nQ6w0vH1157jYKCAqKjo1GpVI9tlhSJROh0Ol5++WUmJye5fv06v/3tb7FarQ/MvCwvLwfuLHnb2to4c+YMcrmcn//8509ltuYzI5CVnPGzZ8/y2Wef4fV6OXLkCK+88goJCQn3Xcf6/X6Wlpa4cuUK7e3tWCwW9u7dy8aNG5/aKX01BEFgcHCQxsbGcEGJgYEBAPbv309JSQkFBQVs2rSJyMjIJ2JKVSgUFBQUkJ+fT1dXFzdu3KC5uRmbzXZPZRUAtVpNbm4uv/zlL/m3f/s3enp6OH36NPHx8ezYsYOkpKTH3uZvwzMhkGAwyMLCApWVlVy4cIHBwUGKi4t54YUXKCsre2BHWNmrNDQ04HK5KC0txW63P5Uj1Wp4vV5mZmYYGhrixo0bXL58mWvXriGVSomPjyc3N5f9+/dTVFREbGzsExV/REQEMTExFBYW0tbWxqlTp6itrSU5Ofm+lRtFIhFRUVEcPHiQ4eFhPB4PbW1tnDhxAp1OR2RkJGq1+qmZ3Z8Jgfh8PkZHR/mv//ovmpqaSEtL41e/+hX5+fmr+jBGRkZ45513uH37Nmlpabz66qtERUU9cxvzmZkZqqurefvtt2lsbGR6ehq9Xs+RI0d47bXX2Llz55ouGUUiEcXFxUxPT3Pu3Llw2aC9e/fet/icWCxGpVLx1ltvAdDV1cVnn31GfHw8mZmZT1XYzzNh5m1sbOQ///M/qampITU1lZdeeon9+/djNBof2NmdTie1tbX8+7//O2KxmO3bt/PGG2+ses/TxMqgcOLECX7zm9/wwQcf0NnZSWRkJAcOHOCXv/wlx44dIysrC71ev+bfSSaTEQwGGR4eZmpqCoC4uDhMJtMDoxQiIiKQyWSoVCo6OjqYmpoiEAhgt9uRSqVPxTL4qZ9BBgcHqamp4eLFi0gkEkpKSti/fz8Wi2VVq0d7e3s4mnf//v1s3ryZmJiYp+KhP4gV69TQ0BAdHR00NTVx7do1uru7CQaDbN68GbvdTmlpKcXFxY/En/GoUCgU2Gw2XnzxRSYnJ+nt7eXkyZPExcWh1Wrv+9ylUilpaWkcOHAgHBl8+fJlCgsL72sJWwuejqd7H1Y6y/Xr16msrGRwcJDy8nK2b99OUVHRA6fglSSg2tpaLl++jFwuZ9euXU+1rR3uGBRcLhdOp5OLFy9y6tQpqqurAcJVDt944w3y8vKIjIx8apYgXyYyMpKjR49SVVXFuXPnOHXqFPv37yc6OhqtVnvfewwGAzk5ORw9epSlpSV6enp45513MBgMmEymNY/ZemoF4vV6mZqa4uTJk1y/fh2r1cpbb71FaWnpqp3D4/Fw69YtGhsbcTqd5OfnY7fbw6HuTyuDg4NUVVXx8ccf093dzczMDDqdjgMHDrBv3z4KCgqwWq0olcqnUhxwZ0Ywm82Ul5czMjJCQ0MDFRUVGI1GNm/e/MD7NBoNx44dY3h4mKGhISoqKigoKCAqKooNGzY8wW9wL0+tQCYmJjhx4gStra0YDAb279+P3W7HYrE88B5BEJibm+Ozzz6jvb0do9HIa6+9Fg6ie9pwuVyMjo5y48YNbt68SUNDA+3t7URFRbF3797wkiozMxOr1fpUz4BwZ7MulUrZsmULQ0NDNDQ0cPnyZVJSUsjOzn6guCMiIrBarezatYvJyUl+97vfcenSJaKjo0lPT1+T8xfDbVuTT/0a3G43/f39fPjhh0xPT1NSUsLLL79MfHz8qlPu8vIyAwMDXLhwgenpaYqKijhy5MhTVaVEEIRweMjAwAD19fWcOnWK7u5uAoEANpuNbdu2sW/fPrZs2fLA9fvTzEpRjKSkJHp6emhoaGDr1q1kZGQ8cN8okUgoKChgfn6eyspKOjo6uHbtGnv37r0ndOVJ8lRasQYHB6msrOS3v/1t2Gb++uuvo1AoVh1Jenp6OHfuHGfOnCE+Pp79+/dz+PDhpyrVMxAI4HQ6+eSTT3j77bd555136O3txWw2c+DAAX71q1/x4osvsmnTpmcv++4LJBIJgnDnkNT29naWlpaQyWTk5uaumnejUCgQi8XMzc1x+/ZtlpaW0Ol0a1pG6KmbQUKhELW1tZw9exafz8euXbvYunXr18bp+Hw+WlpaOH36NG63m82bN7N79+7wEcprjSAItLW1UVtbS1VVFR0dHUxOThITE8P27dspLS0lJyeH1NRUtFrtU2OdehhEIlF4gKqsrKSvr4/KykoOHDhAamoqKpXqgfdFR0fzwx/+kK6uLtra2vjoo4/Iy8vDaDSuySzyVP0KPp+PkZER6urq6O7uJikpibKyMjZt2rTqfcFgkP7+fhobG8P3FRYWPhUOp6WlJcbHx+nu7ub69etcu3aN5uZmzGYzeXl52O12du3axaZNm1bdXz1r6HQ6MjMz2bJlC1NTU7S3t3PlyhWUSiVpaWkPvE+r1ZKfn09RURHDw8M0NjZy8+ZNIiMjw9G/T5KnSiDLy8tcuXKFlpYWQqEQ+/btIycnh8jIyAfeI3xxwGVVVRX19fWIRCL27t1LTk7OA02LjxtBEMLm5oGBASorK/nNb37D4OAgPp8Pq9XK4cOHOXbsGCUlJU/VEvBRsXLa1UpIycmTJ/nwww+x2WwkJyc/0LEpkUjQaDRs374dh8PB+++/z+eff05MTAzJyclP/Dk9NQJZsUCdPn2a/v5+EhISeOutt0hISFj1Pr/fH/YddHd3Exsby5EjR0hNTX1CLb+Xlerxp0+fpqqqitbWViYmJsjIyGDbtm3s37+ftLS0cG728yaOFaRSKTk5Odjtdurq6mhtbaWpqYlNmzaRnJy86r12u53+/n7Onz9PY2MjxcXF7N69+4kbLZ4agczOzobXnXK5nJycHLKystDpdKveNzExwaVLl+js7ESr1bJt2zbS09O/9r5HzcqRAV1dXTQ3N3Pz5k1u3LjB+Pg4KpWKl156ieLiYoqKisjOzg4XknieEYlE6PV68vPz2b59O8ePHw8HMiYlJa06MJhMJjZs2EBpaSnV1dV0dnbS2tpKcXHxE92LPDUCcTgc1NXVMT4+Tn5+PsXFxRgMhlVHC7/fT19fHx9//DFOp5OSkhIOHjyIyWR6op3P5XIxOzuLw+Hg/PnzXLhwgaamJjQaDampqZSXl/PKK6+Qlpb23BWI+CZs3LiR/fv3U1FRwa1bt6iqquLgwYOrnukoFoux2Wzs37+fW7du0dPTQ3V1NdnZ2U901n1qBLJS6dDlcpGbm0tZWdnXPoTp6Wna2tqoqKhAr9eTl5fH1q1b76oG+LgRBIHu7m7OnTvH+++/j8PhwOPxEB0dzauvvsq+ffvIzs5Go9E8lRlzTwKz2Ux2djZlZWVUV1fT2tpKdXU1paWlqxYKj4mJYefOnbz77rt0dXVx5coV3nzzTbRa7RMbANdcIIIgMDU1RXd3N319feGQ55Uk/9W4fv06VVVVeDwejh49SnFx8Z3TWJ/AGnV+fp6BgYGwceDWrVvcvn2bjIwMioqKKCkpITs7G5vNhsFgeG73Gd8EiUSC1WrlBz/4AaOjo3R1dXH8+HHi4+PD58ffD5lMhsViCYfSr+TDlJaWPrHK8WsukGAwSFdXF52dnSwtLbF161bS09NXtUAFAgHm5+epra2ltbUVi8XCzp07yc7OfqziCAaDeDweHA4HHR0d1NXVcfbsWZxOJ0qlktLSUnbs2MG2bdvIz8//Wsfm9wmNRhOeQfr6+rh8+TKHDh1a9TyWlbyRsrIyenp6uHHjBlVVVSQmJn6/BHL9+vXwJnvfvn1fa+FYXl6mra2N+vp6nE4nhYWFFBUVfa3F67sgfHFs8sjICO+++y6nTp2iqakJgPz8fI4cOcJbb71FXFzcE13iPStIpVKsViubN2+mp6eHU6dOceXKla89sEgmk7F161auX7/OpUuXqKioYMeOHRQWFj6Rdq+pQFZ8GLdu3WJsbAyLxUJubu6q61JBEJiYmOD3v/89vb29pKSk8NZbb903vfNRtTEYDIZTXSsrKxkYGMDtdmO328Mn4W7cuPFbVyn8PlJcXMzIyAgXL16kurqapKQkSktLHxhWs1JXKzk5mcTERBwOBw6Hg7m5OQwGw2Nv75oKxO1243A4GBoaQiwWk5GRQXR09KojsNPppK2tjatXryISicjNzaW8vPyxWIdmZmYYHByktbWV69evU19fT19fX9jDv3LSa3Jy8vfSOvUwxMbGktQfyYsAACAASURBVJeXR0lJSTgprKGhAbvdjlqtvuf9K7V+ExMT2bhxIwMDAwwMDDA4OPj8C2Rubo7W1lacTieRkZEUFBSsmu8gCAK9vb1UV1czODhISUkJJSUljzTXIxQK4fP5WFhY4NatW1RUVPCHP/yBubk5ZDIZ6enpvPjii+zfv5+cnJx7Y6ZCPnxeHx6PjxBAhAKpTI5KLmF9NwJyuZyUlBReeeUV/vVf/5Wuri5Onz5NUlLSqsGZCQkJ5OXlceHCBfr6+ujs7CQvL++xt3dNBbKSNz4/P09+fj4FBQUPjPYUBIFAIEB9fT1nzpwhEAiwfft2duzY8UjbtLi4SE9PDx988AFXr16lp6eHubk5SkpK2LdvHwcOHCA+Pj58LPLdjQwiuIboa+6gqbGfBUAUnU9i+iZ251mIAJ692NxHT3R0NEePHuXixYtcu3aNc+fOceTIEQwGwwONMyvVW2QyGb29vXR0dDyRtq6ZQARBwOl0cv36dbxeL3FxcWzYsOGBa3ifz0dTUxONjY3Mzc1RXFxMXl7efWsvfVuCwSBut5umpiZu3rxJXV0dzc3NeDweUlJSKC0tpbCwkNzcXNLS0pDL5feOdIKbgGeC1tOf0zYnY9qaRa7Vw3jXLW5PDnNC/jLl8XJiNM+39/ybIJfLiYqKYvv27UxOTob9SBqNhvz8/Pveo9FoiIuLIzk5mdHRUfr6+pifn3/sZyCumUC8Xi+Tk5Nh61VCQgKxsbH3dQCFQiGWlpaoqKigtbUVlUoVrsP7oNDpb8JK/Nf4+Dh9fX3hY9v6+vqIioqioKCA8vJyXnjhBWJjY++7Rg630T2Ne/Qml883MpW4hdQdWyi0LdE71EB1Yyt/EOcTe8iGWaPl+76NX8k83L59O4ODg3R2dnLhwgXS09PJyMi47zJbKpViNBrJzs5mYmKC0dFRhoeHSUpKeqy5ImsmkOnpaUZHR1lYWCA/P5/ExMQHekf9fj9TU1OcOXOGvr4+cnNz+cEPfoDNZnvoz1+JuG1paeHEiRP88Y9/ZHZ2FqlUSnp6On/2Z3/Gzp07SUtLu6dS/H3+Gn7nIDM1H3Np1ELihjjsKSrkEQpSk0309HZT+e4ZDmW/TEqCluj1dRYikYicnBwKCwvDx0s3NjayefNm0tPT7/u8V+oqt7a2Mj8/T0tLC2az+fkUyPj4OGNjY4hEImw226q28P7+fk6dOoXD4SA1NZW9e/ditVof2qQ6OTlJe3s758+fp7m5mZ6eHpaXlykvL6esrIySkhIyMjKwWq3fMDDOz/z0JO31rTilR8nQG4iNEBEhEqMwGdGqpKh76xmc2I3DJRCtWd+uw51c9KysLF5++WXefvtt6urqSEpKIikp6b7PXaFQkJGRgcFgYHBwkO7u7lWLQTySNj7Wv74K4+PjjI6OIhKJSEhIeKDvw+1209nZyZkzZ8JxWrt27frWISUrdXp7enpoaWkJlxMKBoNYLBbKysrYtm0bmzdvJjMzk4iIiG/uVxE8LC3MMtA3gVepQqHWoBWBGBERajUKpQTNXD+TzmWmFgVYF0gYm83G7t27qaioYGxsjKtXr3Lw4EHi4+PvWT4rFApSUlIwGAy0t7fT3d2Ny+V6rO1bM4GMjY0xOjqKRCIJx+Tcj8nJSVpaWqipqSEuLg673U5xcfE3DvxbKZIwMzMTPjbh8uXLDAwMoFAo2LJlS7gIttlsfrhZSVjG415gatqPOFl55xiyL/6XSCZDIhejEGZYmvewuBRi3Zb1J4xGI1lZWZSUlHD69Glu3brF1atX2bNnzz3me5lMRlxcHAaDAa/XS3d3N8vLy4+1fWs6g0xMTCCTyYiNjcVkMt33fRUVFVy9ehW5XM7Ro0cpKCj4xlaLlay+laLXlZWVjI2NIZVK2bp1Ky+99BIFBQWkpKRgNpu/Q7RtgJAQxB8EkSQC8T17KQERAYJBgWDwIT/iOUaj0fDyyy8zPDzMpUuXeOedd0hKSiI+Pv6uVcLK5t5qtaLRaLh9+zaLi4sEAoHHZsl64gJZ8WdMTEywsLBAbGwsBoPhnjXnyumo165d4/bt2yQmJrJjxw5SU1O/0dJndHSU7u7ucOLSSpGE7OxsCgoKKCoqori4mKioqFWtU98MGRKxFIUMEEKEQqE/fd9gkFAwhB85UpkEmXR9efVV5HI5mzZtwm6309HRQWtrKw0NDdhstnvy0MViMdHR0VitVkZGRsL96EED7HfliQskGAyytLTE9PQ0gUAgfPD8Vzv93NwctbW1NDU1EQgE2Lx589fGaa2U75yamqK+vp6KigpOnjyJIAgYjUa2bNnC0aNHwxHDIpEIIeDCPT/J7OwingAgU6PU6jHpFMgkoru830LAQ8C9yMySD38ghCASAzLUehHINJiNMkRBH36/nyAgBQSfj4A3hDvCjEYnR6NeF8hXkUgkmEwmCgsL6e7u5r333qOmpgabzYbNZruncJzVaiUmJob6+nrGx8eZnp5+fgTi9/uZnJzE5XKhUqlITEy8x3suCAIOh4P/+I//YGhoCLvdzhtvvLFq8Qa4I6rm5mZ+97vfcfPmTYaHh/H7/ezfv58XXnghXBH+y4IMzfXT31jDmc+q6ZwWI4kvJLN0D6/uTiVaI0P2pf4cnBtmpusan9Y6GJv3EBQpISIG+8EyYhRGUlMsiB0u3MvLeEIgE0NoaQmfK8iCJgWrVYNVv77/eBB2u53p6WlOnjzJtWvXiI+P5+DBgyiVyrtcAJGRkVitVgRBYHp6mvn5+cfWpjURyPT0NB6PB7lcjsViuWdj7HA4aGhooKmpCZPJREFBAbm5ufcNYvT7/SwsLFBTU0NtbS03btygs7MThULBtm3b2L59O3l5eWRmZhIXF/enOlkhD/hHaW/pofu2F1V6HmnyFnoGrnBpYAT0f8mBnGiyzF/8MMI844Od3Dh/ieZBHzMeAWQmJJGx5AlSrLGxWMu2kPj7eYIzU9z2CWySh5ibmmbWHUJbtof06Ejiv+9ewlXQ6/VkZGRw4MABampqaGtr48KFC2zbtg2z2Rx+n1arDdccmJ+ff6wb9ScukEAgwOzsLF6vF7lcfs/mOBQKcevWLaqrq5mcnGTr1q2UlJTcVTNq5RjoiYkJbt++TUdHBxcvXqS5uZmpqSmSkpKw2+2Ul5ezZ88eTCbTvXZ1IYjgXcIVUiI1p5Nti0RikyCar8BRV8317jfJTogMCyQ0P8j45BTtcyaibHqiIyIQy/WII1OJN2uxREoRF+yhtKqGGZeDplv9aEzLOAaXmRLFUH5kC5mxRkzrkSYPZOXErBdffJGhoSEGBwc5depUOJd/ZSOu0WjQ6XQIgsDCwsLzJ5CZmRm8Xi8ymQyTyRQWyIpJtqamhoqKCiQSCXv27KG0tDR8/0p+hsfjoba2lo8//phPPvkEr9eLyWTCbrfz85//nNLSUuLj4x/ckFAEgt9M2uZU0uRqzPIQhGKQzs/gHjlN85IHjyeIAIgQ8N6ux7kIszl/wX87HEOiVUmEWIw4vAQLErId4Ni+bs61D3H1o/NIk8foGlAQMpbzyx9uIFUJ6/pYncjISI4cOcL58+fp6urizJkzHDt2LBwgCnc86itBjc+lQFZmEJVKddchMEtLS1y7do2WlhbEYjEHDhxg48aNGI1G4I44hoeHaWho4LPPPqOtrY2RkRHkcjmHDh1i+/btlJSUkJCQ8PX5GRFSxLpIdKKIL9wSAoSW8YtNSAx2ttkt2KLliAQvCHM0X73GhXMtfDpygts3iijZuYMtpQVsTlAjlYgQIUYUoSGm7CccTJ8lf85DkHzSCvXoTWZilaBeV8fXIhaLUSgU7Ny5k/HxcSorKzl9+jR6vT4cua3RaMICWVxcfP4EsjKDrBySIpVK6evro6amhgsXLnDr1i3gTlh0KBRidnaWYDDIrVu3aGho4MaNG1y/fh21Ws2GDRvIy8ujrKyMvLy8sNXjaxGJQSq/Y2kKePAvORnpuEbPmJsZayHFiTqsWgkQAEFAGplKbOIcWf555rurqFqaxjEyxdILe8mPVxOlliASR6C0pJCgW8LqWmbOJ0etVaFWydY+t/kZQSQSIZFIKCoqYmBggOvXr1NbWxv+nXU6HSqVCo1Gg1gsZmFh4bF609dEIHNzc/h8PmQyGUajEalUSktLC7/+9a+5ceMGLpeL6OhoZmdnaWpqYmZmBp/PxwcffBA+xHLFbHvw4EEOHTr0HcKeQwQ9cyyOttN4/hz1A1ockemI/QEkwQCCTIJIpCa57CVUiflkDbTTeOUCVxouc6nXwbQ+DeWeFMzJGlZ2UhK5BpVcw8PHGa+Tnp6O3W4nPT2dW7duUV9fT1lZGfn5+chkMpRKJVKpFJfL9XwJJBQK4Xa7w95PjUaDRCLB5XKFfSNisZjZ2dlw+LlUKkUQBObn5zGbzezZs4c33niDrKwsYmNjw6PJQyF4WJodY6C1hYGJWW63t9A+18X/q9TyFz+wczjPjFSsRh+djNocR8LGAuzbtmH/9B3OnWvgww/PsSXpKBm2TGLWLbiPDLFYTGZmJj/+8Y/5x3/8R5qbmzlx4kQ4WDEiIgK1Wo3f78fn8z22dqyZJz0UCiEWi4mIiGB5eZnJyUmmpqbC1b8VCgU3b95kcXGRUCh0x6knCOj1elQqFampqcTHxz+CAtVSFPoYYrO2stWUiMlynoRrjVTcbKS7MJbinEhixSIkUjkSqRy5So1Gr6ZgawmupSWq3uljcW4eZ5B1gTxioqKiKC8v5+zZs+GjIzo6Oti0aRNisRipVEoodHfkwqNmTQQSDAbDB6yIRCJ6e3vDGWI6nQ6j0YhCoUAqlWKxWDCZTGi1WkZGRgiFQoyOjtLS0oJMJsNms323fACRFIUumphN0cRsspNqCBAVGqf69Ajzc/PMhSD2ro4vBpGGyNR00u1jJP++DWkogFf4rk9mna/y5dKtK0dIVFZWhg0wKwf1PE6BPPEx76sCCYVCnD9/nrq6Ovx+P3CnYuLZs2cRBIHdu3fz93//9/z617/m9ddfR6/Xc/XqVf72b/+Wjz76iMHBwUfYOhnGuARS7DkkalXoxeIHmmVFCg1ykxVLXBQWjQLd+uzxWFAqlRw9ejTsZT9+/DidnZ3AnWXYUz6DCAjuaWamZxl3LuETBARBhEgkBokUlcGC0aAjUicPK1EkEoVja5aXl+nv7+fatWv09fUBdzyjKSkp2O129uzZw4YNG7DZbOj1et58801sNhvnzp3j0qVLvP/++3i9Xv7qr/4KvV7/UNG4KwP/ijvD7/LgdwfR5BQQExNNtCgAgWXmlsSIJDK0WjliBDzjEyxPziEu2UZMTAwx6ybcx4JEIiEhIQG73U5DQwP9/f3cvHkTk8lEKBRCIpGsuv8UfEv4Fsfp63UwMbPIUkCKxGAjNS2OOKuOrysR8N2XWCIRocURZjsaqWzzoIhPICYxiii5wFhfO36pgQhrBvaN0Zg1svCXFolETE5OUllZSVdXF3K5nJKSEgwGAwUFBWzZsoUtW7bcVfQ5KysLpVKJWq3G7XbT0tJCVVUVhYWFbN269Vud0CR45vFPtFLXvcCkW4ohyoJeGsA34WRqKYr8rVmkJ5nR+OcITjVytXqSKZ8CU2IMRrmAMDfJwrKZnO052GIN6zlQjwmRSIRWqyUvL48dO3bQ09NDXV0der2eYDD4gMS2IAgepm/3MT4xzdhSEEEAQSRGHJhnvquSmrF0rCkZlBYkohXDg4Ksv6NARIgURtTCHBGOSj54d57Ew0fYk5xAqmKJvqqTXB8QcUt/iL/53/ZSnGIO27lFIhHDw8N8/PHHzM3NYbfbee2118jOziYtLe2BgYkpKSlhW/g//dM/0d/fz/Hjx0lJSflWxx6EXE487R/xye96qZtUk7LZTprOh1hiRmrK5+DOVJKNKkQL3QSGq7j4h2quj8vQbsoh0xyBLmoTCRl2jpTHECmPWK959ZhZOUJh5WjwleX5ysGffyJEyL+Mb/E27dVnqO9dpl+Vy8FDW8lLUmNY6qTj4xP8+2edLMdtxZAezya1CEPE/X/BR7JJD3r9+LxB/DG5ZOQWsGNzAakRIVJkw/g+vU7DyU+p2V+AyWzE/EVB4oiICBYWFuju7g6nXR47dgyVSrXqSahA2Kt69epVhoaGuHr1Ku3t7cTExKwaDv9lxLoY1Fv+V36mu82eKQ8ehQlrtBWTXodercJgUCAXg1ibgDTnF/wv/8c2Djk9LEqMxMRHYTIYMWrVGGQSHvBs13mEqNVqkpOTOXz4MGfPnqWvrw+xWIzBYLh7aS0sMTdUT8Pv/4lPZ+xoMnfw50cLSDBp0cnFSOSJbHzhKDmdn3K9s4LjV/bwFyVaDJb7L88fgUC8zM3N4BibQ27LJD4+AZtBh1YECq0cBT6WZ2dZ9AXwhe4k6mu1WmQyGYFAAI/Hw9atW9myZcs37txSqRSz2UxhYSFdXV1UVFTQ2dnJxo0bv/HfEEUokRhSSMsxE7PsxRWKQKk1oFbKUH55vo1QItImkpKjJdrtwxWQotLrUMmlyB7pvkMg4FnAPTvO6LSPoNyA2mwhVi9HKllXoEQiwWKx8MILL9Db20t/fz+BQAC5XP6lAVXANdRMd80ljl9eQrYnlQ2FWWTEmVCKvrBIidWoY1KI1PgRLw3T1DbGYpYMHo9ABAjNMjU1Sd+QC1NeKlaLGS0BBL+LqaFxnPMBQlE2rHo5WpkIkftO2uTKtCgWi0lJSUGlUjEwMPCtPl2n0xEXF0cwGKStrY3U1NTvUCPXx+K0i8WvfZ8br2eB2Yf8lAcR8i2x6HQw1tdOx7AbnzoWsy2dnBQLBrUM+bpICIVCREVFodfrkUgk+P3+L23SgxBaZLythsarN6hYzOO/ZWdRkhPN3TlqYhDLkUaAEHDhnJjB73tw8cHvKJAQeAeYnHDSN6rD9qoNq0WPxL9IaPYWly/U0zgqw3rwZbamRZKqFTHhvHPoptvtBu5kGNbU1OBwOL61N9zlctHT00MwGKSurg6XyxU+kuDZIoRrrIOh/n5aeiZZDggExQoUOguxm+xsiDcQo5Ou73O44yZoaWkJ959wNG/IC542muubuNayhHH7EbKSYkm5Z7UegNAMS8tulj1i5Mr7VMn8Et9NIKEQAUcvk+PT9LqkpI3doKO2G5fUhWt+BmfMTjbnJPFyXh6ZFhXSUCCc9TczMwMQ7twrAYrf7uNDLC4uhsuYNjY2hs3FzxYCAdcsSwuLzCx4CQICyyy7lnB5FnF2yVHJxOsC+YKJiQkE4Y6BfmpqipGRESZHhtFM1NLbP8dgKIbc0lSiIjX3Wqd8HkKjPYxPuZnDhC0lDoXqwXve7yAQASEUYH6gj4k5H/OR6aRERmCUBfAHxPglZmyF2SQlJ5CZoEcG+H0+xGIxVqsVpVKJ1+vFYrGQmJj4nUqIPtsEQFhgpGOGebeXQPi/hwgFg7iWBKzRZqJiDKyns9/BYDAwNjaGw+HAYrGg1WpxL84T7GlndMrPgiKWTRtN6HWyrwwqIfyuBWZamxmeFeEzJLIty4xO/WD/2XcQSAgh5GWkp58JrxKl/RDHXtjFhmgND9KjSCQiOjqaX/ziF8zOztLT08O2bdv4yU9+ck/1iu8NoQUIdPLR//2vnDpdy7WZ4J+clxEaIqK2s++tF/nB4XxS1mPmAairq+Ozzz7j/fffZ/fu3ZSVlaJUyJiamGTOHYFIG0VidARq5VdGFMGPe95Je/UNbrsSkG3IYXeuAtMqxTMf/pELbkIBB73907iCKSRv3IBeLmM1X3ZERAQGg4Hs7GxMJhM+n4/Z2VmMRuPq2X/PM4IfBCs7tl1nenyIposOPIJAUCRHaYglbf9BNhfZKbTFrs8gX1BfX4/b7Q6XrU1MTESjUTMriUAkBYlUilxybxyVsNiHs/8aJ6qXEWXaKdpVRpYcNKtsfR9eIL55AtPtdA8FcevMpG2IQi2PWDWlVCQShQs1WCwWJBIJDocDQRBWPTjn+UYA1GSUHWKfoGLZ0MTtaR8+hRVTch4lL5SwOTMWs1q1Xo/xC+bn53E6nYjFYhISEoiOjkGmCGBITMCkGUbhnsc5F8SrEEAiAkLgn8HRVs/N6ia6dFvI3ryZ3YUJGCWsurd7KIGE/B68MyNMd16ncwSW9Tpio6WIJCK+rrCmWCxGLpdjtVpRq9U4HA7m5+fx+/3f0/P9REAE5ux9lEdnkrapnsbbbjyaRKxpWWzONKOVSdbF8QUrxTomJiZQKpVERUVhMBiRCMuYNxaQGj9Hf+cYne1jZIuMGI0SxEE33vkeWhs7aejyotvxJtvK8yhLVn2t4eMhBBLCPd1P/41qrnx8geYREfLoGZxDw8zGJaGRyfjq0u9+xMTEEB0dzcjICOPj48zOzq5a4f35JwKlMYGEQguWXAFBLEUik6GUrotjha9W5bTZbOh0ujvxWGiQJB1g2y4n/uB13v/1v6PdW8CYTYF6eYSu9iFmpHFYjx3hjW1Z2MwaVN+gnz6EQERINRaiNm6jRGJGt01KhNVGckYkkXLJA4O+vkp0dDQxMTGEQiEcDgdOp/N7LhDRnZq+MhFeRxfDE/OML4WQRoTwLi3jF2sQx2ZjTzcTbVB8L3Pc/X5/eDBdOcdFrVZ/sTSXIJJZSCzcwzapkWBVO26fixmvmej4HAoiMxFpLGit8aRbtSgixN9o4Hkogcg0FqzpFqzpxTzsadVfFsjQ0BCTk5NkZWU95F97Dgi6WJoZZ/x2H/1Dk0y7QvjEUpTSEJ6ZMabnvIw0jeDfv4P8jYmkGh620Pazi9fr5fbt28zPz6NSqcjIyLi7rrIQRCTVotSZiY+U0Y9AUKxFE5dBUpQGjVyCKBQg6J5j0SWDCDk61eoO2DUbiKKjo4mNjb1LIN9nBM8IQ/UXOPkfH9GV/QvKd5Xxalk8GhGIXB3cuvQZ//o3/xfv+/8fnBhI3WL++j/6nOHxeMKHqmo0GtLT0//kPxMCEHByu+ZTKi/UcnLaxsZMN6Z4FwueEIGQgICA4FvG7bhFtysSQRtDYZoRMQ/eqK+ZQCIjI8MFF/r6+hgeHg7nqX+vELwQmKDhxHtU1o9xPfZHvLrTTsmmSNRiEWIRiJRxREYns71Qxn92tTCcaIMtZWvd8ifO8vIyjY2NTE1NERcXR25u7hc1CQSCPg/z/V04PRH4TfFk+OdZ6K7gXNMZPg2IURijscTEEZ+YhC1lA5npZpJjNKuKA9ZQICqViqioKFJTU3E4HAwPDzM1NYXZbH6sp5Y+XQgElqdZ7D5H1ZU2mheiiTm2g7yNcdjMyj/9OBINSo0RW6wcb80wC6Oja9noNWGlXFRrayter5eYmJjw2eoAIpEEidxAZHIuOfpk0uanmZycYGpqFueci4DCiN5kwGgwoI+MxmLSYVR/fXzbmvVEkUhEZGQkmzdvZmJigpGREbq7uyksLPz+CETw4XYO0nP691R1R+HbmMdPD6YRq7r3h1lJVRZcS+B+vMeOPY243W4mJibo6elBo9GQnJx8V0FrsUyFPqWQnBTIeYSfu6brmcjIyP+/vTN7avs8F/CDEEKAdgGWJUC2BQIsY2OMwxJjk7pxvIxxnek54057Mp1Td6a9Ore56EX+hV71or3ITNN0kmmMaUuahImNVww2EPZNGIwxEpJYJCSjXefCIx07zpD0JEZC+j0zvxnZMzbvSHp4v+X9vpfGxkaUSiVPnjxhcHCQQCCQzJC2l8ACzsf3ae+cYk1hYs/BWuoK+IZz0hH8/qfYbC4CIglIX77lPt1ZXFxkeHgYv9+PyWSiqqpqW35uUgVRqVTU1tai0WhwOBwMDg4mypgzgYhrgVXrOPceZSPRG9lrLkOVzcsnFCMreD1PmJjxElbsQlL43Q6FpRNxQYLBIOXl5ZkhSEFBQaIXXTAYZGJiApfLlSFZJEbAucTK3COsTwtRlezGaFSRzcuTxojnEatPZumfyyZXvw9NWWbVrYXDYRYWFhgbG0MsFrN3795tK25NqiDxshOLxUJxcTHLy8uMjY3hcrmSGdY2EcPn9rDq8vIUHZoiOYWF31TJFmXz4TiPR8bpWddTWrMf8/7MESQajeLxeJibm2Nubg6dTkdpaekra7n2dZK+ppqdnc3Ro0cxm814PB6+/PLLf/vo7U4lW5xNTk4OWdkSxGIR4pea4wYgMM/owDAPJn1kN1+i6dAeDukyp2YtFArR29ubuBrq+PHjlJaWbtt2QNIFEYlEWCwWqqqqkEgk9Pb2YrVaX3mD+OSTRa5KjVJXRKHYS8jnx+t9vkd0mNBTF/aha/SNOZlnH8ffPsfRSh2lGXIJVywWY3Nzk7t372K1WlGr1bS2tmIwGLYthpQQxGAwUFVVRUlJCVarlampqReOVaYnWeTpjeiqy6mRL+NbcrHwyEsgFCYUChEKuHHbrQy2/41+uwIOnOd//que/SVKpJnhB+FwGLfbTU9PD0+ePEGv19Pc3Mzu3bu3LYaU2XAoLy/n5MmTzM3NMTIykmgDnM5nRETyKgyWTS7/9xxXZ+/S97d1ZOu1GMTreO2PWVxwYMs7x7H/rKX6YDVV+ZCXQVec2u12bt26hc1mo6SkhNdffx2FQvGdLwf8IUh6BolTWlpKU1MTRUVFzM7O0tfXh9frJRKJfPs/3qnkKJDv3s+Rs//B6dY6GkxKJCE/EaTkqUsorTzE4WOtNL9WQ+3eQuTib1gCTlPi7fa++OILVldXMZlMtLS0vNDCeztImQxSWFiIxWKhoqKC/v5+hoaGmJ2dxWQyJVr+ph8icmS7KKy9SFv1Ohvr69gdG8RkhSjUSjTKfCRZW9cKpSsbGxtMT09z69YtYrEYlZWV1NXVbfuhupTJIPFrJE+fPo3RaOTRo0d8+OGHLC4uJju0bSFLokBWaGCP2czekiKKFHkZKwfA8PAwfX19OJ1OampqOHDgACqVatuLzxuF+gAADLpJREFUWVNGEHjWMOWNN96gpqaGcDjMv/71L8bHx1lfX092aK+eLBGi7BwkublIcsSIRVkZKUc0GsXv93Pz5k16e3vJy8vj1KlTHDp0aFvnHnFSSpDc3FzMZjP19fWUlZUxOTlJb28vMzMzyQ5NYJvw+XxMTEzQ29uL3W6nurqapqYm9uzZk5R4UkqQeGuE5uZm3nrrLQC++OILbt++neZLvgJxHA4HV65cYXp6muLiYi5cuMDevXsTZe3bTUoJEqesrIwjR45w+PBh1tbW6O/vZ2Bg4JU2jBdIPh6Ph6mpKf7xj3/g8XiwWCycO3cOtVqdtJhSUhC5XI7ZbKatrQ2ZTMbIyAgdHR3Y7XbC4fC3/wcCO45YLMbY2BhffvklMzMz7Nmzh8bGRkwmU9KyB6SoIAB6vZ5Lly5RXV3N0tISH3/8MWNjY5kxYc8wIpEIbreb7u5uOjs7EYlEtLa2cuzYsWe1akncLE5ZQaRSKWVlZZw5c4a6ujpsNhsffPABfX19wnwkzfD5fHz66afcvHmTjY0NmpubaWlpwWw2Jzu01Nko/DrxUviWlhYcDgdWq5WBgQFMJhNGo5HKysrMOZqbxsQ3BP/+979jtVopKSnhF7/4BRaLJSVu/E/ZDBKnoqKCY8eO0dzczMbGBj09PVy7do319XVhPrLDiUQiLCwscP36de7cuYNIJKK5uZkzZ85sa0HiVqS8ICKRiIMHD/Kb3/wGo9HI0NAQH3/8MTMzM3i93mSHJ/A92NzcpKenhz/+8Y+4XC6OHz/OpUuXUKlUKTM6yH7vvffeS3YQ34ZYLCYvLy/RScpqtWKz2di1axc6nS5DL73eucRiMYLBIB999BFXr15ldnaW1157jQsXLtDU1LTtBYlbkRqafgtisRiNRsOpU6dYWVlhdXWV7u5uDAYD+fn5NDY2JnqvC6Q+KysrjIyM8M9//pOJiQkMBgNtbW0cPXo0qXse38SOEASetX4+cOAAZ86cYWNjgz//+c9cvXo1UempVCqFTLIDCAaDTE1N8Yc//IF79+6hUqn40Y9+xMWLF7f1pOB3ZccIEqempoZIJILdbqe/v5/u7m5kMhm//OUvMZlMQhZJce7fv097ezvd3d0olUreeustLl++TGFhYUp+djtiDvI8UqkUmUyGUqnE4XDw+PFj5ufnycvLQy6Xp+wbnek8ffqU0dFR2tvbuXbtGisrK1y4cIHz588nznmk4ue24zIIgFar5dy5czidTjweD729vXzyySfEYjEUCoUwcU8xfD4fs7OzXL16lc8++wybzcaRI0f46U9/SkNDAzk5qdvKYUcKkpWVhVgs5sKFC0ilUhwOB5OTk/z1r3/F7Xbz29/+luLi4sy7KT4FicViiczxl7/8hc3NTZqamnj33Xeprq5Oic3ArdhxQ6w48YagSqUSg8GA0+lM9M72+XwolUpBkiQTCAS4ffs27e3tfP7557jdbk6fPs2lS5doaGhALpcn5RDUv8OOzCBxxGIxRqMRjUaD1+uls7OToaEhrly5gkgkIisri+rqanJycgRRtpFYLMbq6irT09O0t7dz8+ZNVlZWaGlp4e2336a1tRWVSpXsML8TO1oQeHYzo1Kp5Fe/+hVqtRqPx8Pg4CDvv/8+DoeDd999F7VajVQqTXaoGUMoFGJ0dJQ//elPdHV1EQ6HaWho4He/+x0VFRXIZLJkh/id2bFDrOeJ987QaDQYjUbW1tZwuVzMzs4yPDxMQUEBarX6xX52Aj84oVAIt9vNhx9+yAcffEBPTw8SiYTz58/z61//mv3791NQULCjsnlaCALPJJHJZIn+65FIhOXlZYaGhtjc3CQcDiOTySgoKEiZOp90wuPxJKpyOzo6mJycRC6Xc/r0adra2mhqakIul+8oOSCNBIFnkuTn52OxWFCpVIRCIaamphgdHcVms5GXl4dWqyUvL+9Zb+0UXHffaUQiEbxeLxMTE3z22Wf8/ve/Z3FxEb1ez+nTp7l8+TJHjhwhLy9vR77fWbE0PX3k9XqZn5/nzp07vP/++0xPT6PRaDh58iQ/+clPknJLX7oRjUZxu918/vnndHR0cOvWLVwuF2fPnqWtrY1Tp06h0WjIzc3dse9z2o41ZDIZ+/btIz8/n+zsbLq6urh79y43btxgZWWF8fFxTpw4gclk2jErKqmEy+VieHiYW7duce/ePWZmZsjPz+edd97hzTffpL6+Hr1en+wwvzdpKwg866S7b98+lEolRUVF5OTkMDw8zN27d5mcnGRlZYXXX38di8XC7t27EYvFO26MvJ1Eo1GePn2K3W7nq6++oquri66uLgKBAAaDgcbGRn7+859TWVmZNr900naI9TyxWIxQKITL5eLKlSt88skn9PT0AHD06FHa2tp45513UKvVQonKFsTb5H300Ud0dHRgtVqRSqW0trbys5/9jB//+MeoVKq0OnqQEYLA/0myuLjI2NgYd+/epbOzE4/Hg0qlorq6mubmZhobGzlw4ABSqTRtPuTvQ3yeMTQ0xJ07d3jw4AETExN4vV7MZjNvvvkmjY2NmM1mdu3alXYrhBkjyPN4PB5mZ2fp6uqir6+PiYkJlpeXsVgs1NXVUV9fj9lsxmg0otVqU74c4ocmFosljhTMzc0xOTnJ/fv3efDgAQ6HA61Wy6FDh2hpaeHEiRMYjUZyc3OTHfYrISMFgWdfgmg0yu3bt/n000/p6OjA6XQSCoUoKiri3LlznD17ltraWuRyORKJhOzs7LSeo8SzbCAQwOPxcPPmTTo7O7l+/TputxupVEplZSVnz57l4sWLlJeXp/2QNGMFgWdfCI/Hg8vlYnFxkRs3btDd3c3w8DBSqRSdTkdVVRVNTU2JW/7SZfL5dcLhMD6fj4GBAe7du0dvby8PHz7E4XAgEomor6/n5MmTiYvF4/tJ6T4MzWhB4kSj0cRR0JGREYaGhhgeHmZubo5gMEhpaSkVFRWUl5dTUVGByWSitLQUrVa7ozNKOBzG6XQyPz+P1WplZmaGmZkZZmdnefz4MVqtloqKCg4ePMihQ4eoqamhtLQ0o+raBEG+RjAYxOl0cv36dW7cuMHw8DBOpxO3241MJsNkMtHc3ExdXR0mkwm5XE5BQQH5+fnk5+cnqohTjfjwaXNzE5/Ph8/nw+12Mz09TV9fH/fv32dsbAypVIpCoaCoqIiGhgbeeOMNmpqaUKvVGTcXA0GQl4jPTfx+P16vl4WFBXp7e7l27RpDQ0MsLS0hkUhQKBTo9XoOHjzI4cOHqa2txWKxpGytVygUwul0Mj4+zldffcXg4CCjo6M4HA58Ph8ikQitVsvx48c5ceIETU1NaLVaCgoKyM3N3dGZ8vsgCLIF0WgUn8/H8vIyi4uLzM3NYbVaGR0d5eHDh6yuriKVStFqtRQXF1NUVERZWRklJSXo9frE32k0GuRy+bZkllAoxNOnT3E6nTgcDpaXl7HZbCwsLLC4uIjT6cTpdLK2tkYgEECn01FZWcn+/fsxm82UlpZiMBjQ6XTCORoEQf4tvF4vS0tLDA4OMj4+ztzcHDabjbW1NdbW1tjY2EClUrF7925KSkrQ6XTodDqKi4sTv43z8/PJzc1FIpEgkUjIyclJvBaLxYlNtudlime1+FwpFAoRDAZfeB0IBPD5fHg8HtbW1rDb7djt9sQpS7vdjt/vRy6Xo1arKSwsZNeuXVRUVFBTU8P+/fsxGo0ZOYzaCkGQ/yexWAyfz8f8/DwDAwM8ePCA/v5+pqen8Xg8xGKxxCMWixO1YSUlJRQXF6NWq1Gr1Wg0msRrhUJBXl5eYjlZJBIRjUaJRCKJ5de4jPFndXWV1dXVxGR7aWmJtbW1hGTxR6fTJdrb1dfXU1NTw759+9Jq1/tVIAjyPYhEImxubuLxePB4PLjdblwuFzabjaWlJZaWlnjy5Al2u53l5WUCgQBAInPk5OQgFosTr7Ozs1/4wmZlZb0gWjQaJRwOEwqFEk/8z8FgEJFIhEwmo6ioCL1ej8FgQK/Xo9fr0el0aLVaFAoFCoUCuVyeEcu03xdBkB+QWCyG3+9nfX2dlZUVXC7XC8/q6iobGxv4/f4XnkAggN/vJxgMEolEiEajCSniGUAkEpGdnY1UKiU3NxepVPrSo1Qq0Wg0FBYWvvTI5fK03e1+lQiCbCM+n4/19fWELM8PkeJzGL/fTzgcJhKJEIvFEmLE5yrPD83iwzONRoNWq0WpVAo1ZD8wgiACAluQ2Wt4AgLfgiCIgMAWCIIICGyBIIiAwBYIgggIbIEgiIDAFgiCCAhsgSCIgMAWCIIICGyBIIiAwBYIgggIbIEgiIDAFgiCCAhsgSCIgMAW/C+bW1IMPYgZuQAAAABJRU5ErkJggg==)
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= ° 35 , then the value of PSR is
![](data:image/png;base64,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)
maths-General
maths-
Find the value of ‘x’ in the given figure
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAAC+CAYAAAA1Iu3AAAAgAElEQVR4nO2dd1hU1xb235mhK01UpCgo9s8CNuztYtRce9BrB03UFEu+5BojAWO8McaYmKr5NJpY0Kgx9h4j0cSCPfaKIk0QAZEyODPn/f4wZ2woM3PODBNzfs/Do8/M2XuvOfPO3vvstfbaKpKEgoIE1OVtgMLfH0VECpJRRKQgGUVECpJRRKQgGUVECpJRRKQgGUVEFlBy7SpSDOVthf2giMhcCvZjxutzcUpX3obYD4qIzCIPe2LH4csUD1RxKG9b7AdFRCYj4NaOhdhz2x2qylXhq9w5I8qtMBEhfRMWnmmGF0N0cPDxRWXlzhlRboUpGJKxZmESOo3rgOJbufCqWhXKaPYARURlosfFBZOx/KYBJ5bMx+oj2ahUtSo05W2WHaGIqAzunV2JTV7Tseqz1zE6uhuCNAIq+VZVbtxDKL3ys7hzAN9t88SwtxvCXQ3gXi6yc5xQuYqHIqKHUO5FqQjIPLoCMS8NxuJkZxgEAAVJ2Lf0B+y8Xojzv65FYsq98jbSblApkY0KUlF6IgXJKCJSkIwiIgXJKCJSkIwiojLIycnBpk2bytsMu0ZZJ/oLQRCQlZWFtLQ0pKeno6ioCHq9HsuWLUNycjIKCgrg4OAAd3d3BAYGIiAgAN7e3lCpVOVternzj3vEv3v3Lo4ePYrExEScOHECKSkpRuHo9Xqz6nJ1dUVAQAACAgIQHByMFi1aIDw8HE2bNoWTk5OVPoH98dyLKC0tDdu3b8ehQ4eQmJiIs2fP4uGP7OTkhICAAGPvEhgYCH9/f1SsWBFZWVmIjY0FAAwcOBARERHIy8tDWloaUlNTjf9mZGRAEARjnc7OzmjWrBnCw8PRtm1bdO/eHR4eHjb/7DaDzyHJycmcO3cu27ZtSwDGv4oVK7JLly6cOnUqN2zYwLS0NAqC8NR6pkyZYizbqFGjp16r0+l46dIlxsfHc/z48WzZsiUdHR2NZZ2cnNi7d28uXbqUubm51vrY5cZzI6Ls7GzOmTOHrVq1Mn55Go2GERERnDdvHk+fPk29Xm9yfXq9nv7+/qxUqRL79etHADx27JjJ5YuLi3nw4EF++OGHDAsLM9rk6OjInj17cunSpdRqtZZ8VLvjby+iixcv8rXXXqOrqysB0MHBgT169OCiRYt469Yti+vdsWMHAfCNN97gtm3bCIATJkywuL4rV65w9uzZbNmypVFQvr6+nDFjhiQ77YG/pYgEQWBCQgJ79+5t/EJCQkL41VdfMScnR5Y2hgwZQgA8cuQIdTod/fz86OPjw5KSEsl1X79+nTExMfT29iYAuri4cNy4cTx//rwMltuev52IDh06xDZt2hjF06FDB65fv96soaos8vLy6OLiwoYNGxrnQZMnTyYArlu3TrZ2CgoKOH/+fNapU8f4eQYPHszk5GTZ2rAFfxsRpaamcvjw4cabHRkZycOHD1ulrYULFxIAZ8+ebXztzJkzBMC+ffvK3p7BYOCmTZvYunVrY88UFxfHgoIC2duyBnYvosLCQn7wwQd0c3MjALZs2ZL79++3aptt27alWq1mWlraI6+3aNGCDg4OzMrKskq7giBw5cqVDAwMJAD6+/tz2bJlNBgMVmlPLuxaRPv27WNwcLBNb+ilS5cIgD169HjivW+++YYA+MUXX1jVBvGHIz4stG/fnteuXbNqm1KwSxHdu3ePsbGxVKvV1Gg0jImJ4d27d23S9nvvvUcA/Oabb+jp6ckaNWowMjKSGzduZHp6Oh0dHRkaGmoTW1JSUjho0CACoIeHB+Pj423SrrnYnYguX75sXOsJCQnhoUOHbNa2wWBgjRo16OnpyXPnzjEsLIzVq1c3zsN8fHwYEhJCADx58qTN7IqPj6eHhwcBcNiwYczLy7NZ26ZgVyJaunQpK1asSAAcPXo08/Pzbdr+r7/+SgAcN27cI6//+eefnDx5Mv39/Y2CGjNmjE1tS0pKYrt27QiAQUFBPHDggE3bfxZ2ISKDwcB3332XAOjl5cU1a9aUix0jRowggKd+Qffu3ePYsWMJgGq1mkeOHLGpfTqdjjNmzKBGo6GzszNXrVpl0/afRrmLqLi4mIMHDyYANmjQgElJSeViR35+Pt3c3Fi3bt1n+tMEQWDHjh0JgFWrVi0X18WePXvo6elJAPz444+faa8tKFcRZWdns3379gTATp06ybbabAnff/89AXDmzJllXnvy5EnjsDZ37lwbWPckZ8+eZVBQkHH41el05WIHWY4iSkpKYt26dY2TxfJ2Rnbq1IkqlYo3btww6fpGjRoRACtVqiTrark5ZGRksHnz5sYlifJanCwXEaWkpBh/RbGxseXeHSclJREAIyIiTC7z+eefG3uj48ePW9G6Z1NQUGD0IUZERLC4uNjmNthcRJmZmaxXrx4BcNasWbZuvlSmT59OAFy+fLnJZTIzM6lWqwmAS5cutaJ1ZaPT6ThgwAACYJ8+fXjv3j2btm9TEeXk5LBp06YEwJiYGFs2/VQMBgNr1qxJd3d3s4eDHj16EIBN17KehlarNdozZMgQmw6xNhNRfn4+w8PDCYATJ04s9yFMZO/evcZ1KXNZt24dAfCdd96xgmXmU1hYaHxyfOWVV2x2j20iIr1ez+7duxMAR40aZVcOxVGjRhEA9+3bZ3bZkpIS+vj40M/Pr1yfjh7mzp07xsC3uLg4m7RpExGJ/qjevXuX25NMaRQUFLBixYqsVavWo79aQyY3T+nP2F0PnhgN2Qe58P33+MG0OH66JYliaNqECRMIgNu3b7et8c8gOzubtWvXJgBu2rTJ6u1ZXUQbN24kANauXdvufD7Lly8nAH7wwQcPvWpg+ppohri4st/ywvsvlZzkJ13b8u29d0l9Euf1bsUJu+4H3B89epQA+J///Mf2H+AZnDp1iq6urvT09OTly5et2pZVRXTp0iV6eHjQzc2Np0+ftmZTFvGvf/2LAB4JszDc+JGTXovhK03c/xKRgVkrIlktNJbHdSRpYObCnvRqM4vn9PdXsBs1akRnZ2e728mxYsUKAmDjxo2tuoZktW3UhYWFGDBgAPLz87Fo0SI0atTIWk1ZxI0bN7Bnzx507twZwcHB9180JGPFp0fQ7t0B8DPemSL8tnkPikIaoq4DAKjhVb8eqpzciV1pAlQqFaKiolBSUoLVq1eXz4d5CkOHDsXEiRNx+vRpjB079pH9dnJiNRH997//xZkzZzBp0iQMGTLEWs1YzPLly0ESUVFRf71iQNKyuTgXMQUv+T+U1tOQhivXCuFZpYpxz7nayxPuQgqSrt3fMTts2DBoNBosXbrUpp/BFObMmYN27dph5cqVWLZsmXUasUb3tm/fPgJgkyZNbL7wZQqCILBOnTqsUKGCMdhNd3EhJ8bt4G0DSd0JxoX+NZzp/uT7zZxZe9Je42Rad3Iaw5yrc9xDE+8XX3yRAHjhwgXbf6AySElJobu7O729vXnz5k3Z65e9J9JqtRgzZgzUajUWLVoER0dHuZuQzMGDB3H58mW89NJLqFixIiBkID7mW5xN24xpE8dj/KQ5+CVdizMr/ouYldnw8lRBW1wMcTAQCotQpPKBb5UHPVZ0dDQAWO/XLoHAwEDMnj0bubm5ePPNN2WvX3YRzZw5ExcvXsSbb76Jli1byl29LIjDzoOhzAl1XoxEp2Bf+Pr6wtfXBxUc1HD2rIoq3tXQskVN3ElJQf5fV+tSbyCrUhha1H2QVKV3797w8vLCsmXLYDDY3xFE48aNQ7t27bBq1Sps2bJF3srl7NZOnTpFBwcH1qxZ0263uxQVFdHDw4M1atR4+qLnw8MZSd3pWWxXcwTX5ZFkCfe/3Zih7x7k467OV199lQD4yy+/WPMjWMy5c+fo5OTEwMBAWaNGZeuJSOLVV1+FXq/HggULUKFCBbmqlpWNGzciPz8fI0eOhFpt2sd3aPQm5r2lw9Jpi7Duhzh8cXMUFr7XGi6PXScOaUuWLJHZanlo0KABYmNjkZqaiunTp8tXsVxq3LJlCwFw4MCBclVpFUT3iyULcAWpp3j0TDoLn/K+IAisV68eXV1deefOHWmGWomSkhKGhITQ2dmZKSkpstQpi4gMBgPDwsKoVqvtej95Wloa1Wo127VrZ7U2Zs2aRQBctGiR1dqQirhS/+qrr8pSnywiWrt2LQEwKipKjuqsxuzZswmA3333ndXaSElJoUqlYocOHazWhlT0ej0bNGhABwcHWWLaJYtIr9ezYcOGdHBw4NWrVyUbZC0EQWCDBg3o4uJidR/eCy+8QAC8cuWKVduRwk8//UQAjI6OllyXZBHFx8eXulfL3jh8+DABcOjQoVZvS/RZTZs2zeptWYrBYGBoaKgsUxBJIhIEgU2aNKGjo6PJAe7lxeuvv04A3Llzp9XbKiwspIeHB4ODg+0qdupxxAgLqR2AJBEdOnTILsMgHker1dLb25sBAQE2i2d65ZVXCIAJCQk2ac8SxNDgihUrSlo3krROtGDBAgD3V0Ptmc2bNyM3NxcjRoyARmObMxPFNSN7dMqKqNVqjBkzBgUFBfjxxx8tr8hS9eXl5dHV1ZV16tSxm3jpp9GrVy8CsOnygyAIrF279iNOXnskIyODDg4ObN68ucV1WNwTxcfHo7i4GGPHjrXrrPKZmZnYvn07wsPDUb9+fZu1K8YZFRYWYt26dTZr11yqVauGvn374tixYzh27JhllViiPEEQ2LhxYzo5Odl95tPPPvuMADh//nzLKtDd5JE1X/Hjjz/hR3FTGPv1LiaZuFn3+vXrBMAuXbpY1raN2LVrl6RMJxaJ6Pz5838LF8fDYrdkn3/xhRV8vXtfTt149b6z1ZDNXyaFMrjfIl41cX7etWtXAuD169fNbt9WiHmZKlWqZNGuFYuGMzGUoE+fPpZ1fzbi5MmTOH36NPr27Qtvb2+zyhqSlmLEizMhTFqMD/vUuu9sVfug61tRCNo5E5/vKzGpHjHcxB7jjETUajV69+6NnJwcHDp0yPwKLFFu586dqVar7X4omzRpEgFw69at5hXUX+SX//JmwIifefvx9+4uYz9XJ3b9Oq20kk8gbksKCQmx6weQ7du3EwDfffdds8uaLaLc3FxqNBq2bdvW7MZsSUlJCStXrsxq1aqZ3UXnbohigFMjTj38ZOJz3ekP2NzRnQPiTV9XiY6OJgD+/vvvZtlhS4qLi+nm5sZGjRqZXdbs4Wznzp0wGAzo1auX+d2eDdm+fTuys7MxfPhwODiYc6xbAXav3oKsOr3Qr+njx00JyNi7D+c1YWjXxs3kGsUhzZ7XjFxcXBAREYEzZ84gOTnZrLJmi2jr1q0AgH//+9/mFrUpYmDYgxBYE9Ffx7lL+XBt0BT/53EN6c9i6dIDcHkhGoODTV+07NixI4KDg7F69WoUFRWZZ48NEb9T8Ts2FbNFlJCQAH9/fzRu3Njcojbj1q1b2LJlC5o3b27+fjeVK1xd1HBydcGjMhGQ8fMsLLgUirc/GAZ/M+6cWq3GyJEjcffuXWzYsME8e2xIz549AQB79uwxr6A5Y19WVpbVjiaQky+//JIA+NVXX1lQWsfTH4bTvdG7THxoSqQ99//Yp2ZdDl1+hZakbrhy5QoBsFu3bhaUtg2CINDX15e1atUyq5xZItq5c2cpe9ftj2bNmtHR0dHyp8fCk5w/qBnbRM/lT9u28MfPJzN65Jv8dn8mpfjkO3ToQJVKJVtYqjXo2bMnAZi1JdwsEYmhn7bINGEpp06dIgD2799fYk165iYd54FDp3jttlaSeEQWL15sVxniSiMmJsbs6AOz5kTHjx8HADRr1sy8MdOGPLmnzFI08KoZhjbhjRFcyVmWDXqRkZFwdXXFkiVLrLYvXiridyt+1yZhjkpr167NqlWr2u2imU6no6+vL6tUqWKX27dJGo/bsocUfaUhJkEdPny4yWVM/oEVFBTgypUrCA0NtVuv/c6dO5GZmYmhQ4fa5fZt4EEPaa9704KDg+Hl5YWTJ0+aXMZkEaWlpQEAatasab5lNkIcysSAMHukS5cuqF69OlatWgWtVlve5jyBSqVCUFAQUlNTTS5jsohu3rwJAPDz8zPfMhuQk5ODjRs3okmTJggNDZWt3qtXr8qad0ij0WDEiBHIy8vDpk2bZKtXTvz8/JCXl2eyyE0WUUZGBoD7QUz2yOrVq3Hv3j0ZeyEDkg/9jC6du2JkVDT+PH1apnrt3w0ifsdix1EWZovIXnuiJUuWQKPRYOjQoTLUpsf5b/ujYdtIpKTewL0SLdp364OcO3dkqBuoW7cu2rRpgx07dhjvqz0hfsem2vZciOj8+fM4fPgwXnzxRfj6+kqvsOR3jJ+2BUUPPYUXZF5HZPRo2R7No6OjIQgCVqxYIUt9cmI1EYldmz0OZ/KtDd3n5J8XsDf7UbGo3GogYcM6fP7557K0MWjQIDg7O9vlmpHVhrOcnBwAgI+PjwVmWQ+DwYDly5fD29tblvCUvLw8vDTkExgAVPhrJUOlqYwOU5fBz98f77zzDv744w/J7Xh5eaF///44e/aseQt7NqBy5coAHnznZWGyiPT6+0kunZwej48oX3bv3o309HQMHToUzs7OkuoiiejoaCQlXce0aVNxcudCfPy/T7D4lyPYFdsJP61ZA5VKhUGDBiEzM1Oy7fa6ZiSusYnfeZmYuiop5ny2t9XqIUOGEAAPHz4suS4xa8gLL7zw1J2yc+fONe7gkHoUg16vp7+/PytVqlTu5709zMGDBwmA7733nknXmyyiTp06Ua1WW2yYNcjLy6OLiwsbNmwoWdy//fYb1Wo1AwMDn+n9FwSBkZGRBMCpU6dKapMk33nnHQLgzz//LLkuuRCTX0yZMsWk600ezjQaDQRBsKtJ4Jo1a6DVahEVFSXJFZORkYH//Oc/0Gg0+Omnn4xzgtJQqVRYvHgx6tati1mzZmHz5s0WtwvY55qRmLjU5C3npqpTzLljL6fpkGS7du2oVquZlmbazovS0Ol0xuOdzAliE8/O8PLykpyXqWXLlnRwcGBmZqakeuTi999/Nys1jsk9kRjsrtPpzNS1dbh8+TL279+PF154Af7+/hbXExMTg3379mHw4MEYP368yeUaN26MBQsWIC8vDwMHDpTkB4uKioJer8fKlSstrkNOxAm1yRscTFWnOIFNT0+3WOFyEhsbSwCSzoZfv349AbB+/foWJ10YN26cpC3I5P2jpZycnBgaGmpxHXIiHgb45ZdfmnS9ySJ66623CIDHjh2z2Di5ELf9enp6Wnxw7uXLl+nh4cEKFSrw7NmzFttSXFxsPBF6yZIlFtfz0ksvEQBPnjxpcR1yMW/ePALgmjVrTLre5OHM3FVMa/Lbb7/hxo0bGDx4MFxcHs8mXTbFxcWIjIxEfn4+vvvuOzRs2NBiW1xcXLB27Vp4e3vj1VdfxalTpyyqx57yGZntnTBVnWLaWntIrTtixAgC4IEDBywqP3r0aALgG2+8IZtNYh5vSw8HvHfvHqtWrWoXUZliljdTc32bLKLdu3cTAP/3v/9ZbJwc5Ofn083NzeLkWmKwfKtWrWRf4BOPKR0wYIBFtolThvLeCPHvf/+bAEyeJ5osojNnzsj+67WE77//ngA4c+ZMs8ueOHGCLi4u9PHxYXJysuy26fV648r+p59+anb5P//80yjC8qR58+asWLGiydebLKLc3FzjYcDlSadOnahSqczOVpubm8tatWpRpVJxx44dVrKOzMzMZEBAADUajUUnXIeFhdHR0ZHZ2dlWsK5sBEFglSpVWLduXZPLmLXbIzAwkNWrVzfbMLkQdyJERESYVU4QBPbt25cA+P7771vJugfs37+fDg4O9PPzY0ZGhlllv/jiCwLg119/bSXrnk1aWhoBMDIy0uQyZomoT58+BFBueYmmT59OAFy+fLlZ5UxxrMrN559/TgDs3LmzWav8WVlZdHBwYIsWLaxo3dMRHxA++ugjk8uYJaL333+fALhr1y6zjZOKmHPZ3d3drLPURMdq9erVbSp+QRA4cOBAixJHib3mmTNnrGTd05kxYwYBcPv27SaXMUtEYgb2jz/+2GzjpLJ3714C4OjRo00uk56eTl9fXzo6OpbLZsE7d+6wbt26BMCNGzeaXE5cSZ88ebIVrSudfv36EYBZZ8WaJaKUlBQC4KBBg8w2Tiri2o6pk9WHHavlNb8gydOnT9PNzY2enp4mO2pLSkro4+NjUZY3qQQFBTEgIMCsMmaJSBAEVq5cmSEhIWY1IhUx72GtWrVMXn+ZPHkyAXDw4MHlHkgnLtSGhYWZ7KaZOHEiAXDbtm1Wtu4Bt27dIgD26tXLrHJm52zs37+/zY9hEr8EU1PaiMNBgwYN7CabvXg+7CuvvGLS9ceOHbN5ry+ejjR79myzypktInHF11QPrxyIC3jXrl0r89qHHavnzp2zgXWmodVq2aJFCwLgDz/8UOb1giCwUaNGdHZ2tigHtyUMHTqUAMx2SJstooyMDOPjsi24ceMGVSoVO3XqVOa1RUVFbNq0KQHwxx9/tIF15nHt2jV6e3vTxcXFJG/9p59+SgD89ttvrW6bTqejt7c3g4ODzR7+Lcpj3aJFCzo5OdlkqJg5c6bJv95Ro0YRAMePH291uyxl69atJjtqMzIyqNFo2Lp1a6vbJUYzWnLvLBKRuF60fv16S4qbjCAIrFOnDt3c3Mo8j2vRokVWc6zKjRhQ169fvzJ/9aIz9MKFC1a1acqUKWavD4lYJKIjR44QAEeNGmVJcZM5cOAAAXDkyJHPvO748eN0dna2mmNVbvR6PSMiIgiAc+bMeea1a9askW1nydMQBIENGzakm5ubRUF+FonIYDAwKCiI7u7uVh3Sxo4dSwD89ddfn3qNrRyrcpOVlWV01O7du/ep1xUXF9Pb25uBgYFWc9mIW4QsfRK0+NC8Dz/80KrHgxcVFdHT05M1atR46jmqBoPB6M+zhWNVbg4cOEAHBwdWq1btmY7a1157zaruppdffpkAuHv3bovKWyyi9PR0ajQaqzkKf/zxRwJgbGzsU6/5+OOPbe5YlRvRa9+pU6enrk4nJiYSAIcNGyZ7+3l5eXRzc2Pt2rUtPvRY0kHC4sKjNYL3e/To8cwQzYSEhHJxrMqNIAgcNGjQM3ecCoLA+vXr09XVlXfu3JG1/fnz51u0wPgwkkS0Y8cOAtKPxH6ctLQ0qtVqtmvXrtT3y9uxKjf5+fmsV6/eMx21Yq8rZ4y7IAhs2rQpHR0dJW2clCSih4/ElnNVVYz/KW2+pdPp2KFDh3J3rMrNmTNnjI7a0lxKqampVKvVbN++vWxt/vHHHwSkH0kvSUTkgzHd1AwSZSEIAhs0aEAXF5dSF+PsybEqN/Hx8QTA0NBQFhUVPfF+9+7dzdqFURaiO+ngwYOS6pEsouLiYgYEBLBChQrMysqSWp3xcXPIkCFPvGePjlW5EZ/EXn755SfeW7lyJQEwLi5Ocjt79uyxyGNfGpJFRJLffvstAfDtt9+WXNcbb7xBANy5c+cjr9urY1VutFotW7ZsSQD8/vvvH3mvqKiIHh4eDAoKsvhJirzf27dr144AePz4cakmyyOikpISBgcH08XFRVKGDq1WS29vbwYEBDzyyG7vjlW5uX79OitVqkQXFxeeOHHikffGjBlDANyzZ4/F9YvnvZoTjP8sZBERSf7www8EwNdff93iOtauXVtqTPLfwbEqN9u2baNKpWJISMgjx0bt37+fABgVFWVRvYIgsEWLFlSpVLLFcMsmIp1Ox3r16lGj0Tzx6zGVXr16EQDPnz9vfE10rIaHh7Ok5MmDfUmyJOsc965dxm3n779/98x6Lvyp/BMjSCUuLu4JR63olK5QoYJF80Lxfsq5cCmbiMgHW62bN29udmzwzZs3qdFoGB4ebnzNNMfqXR6Jf59jO/qzcv+lTD76NaO6tWXLfl9I+CT2gV6vZ7du3QiAn3zyifF10eVkbhaS9PR0enl50dPTU9K043FkFRH5YOgxdxvxZ599RgCcP38+yUcdq49PsktDf3E221VuzaGz1vL639MDUipZWVkMDAx8xFGbnJxMlUrFLl26mFWXmGty4cKFstoou4hu375NX19furq6mry7QRAENm7cmE5OTszJyXnEsTp9+nTTGtYdZWxoIEdvsSxfkT3zsKNWTDLWtWtXk0OGyQfLI507d5Z9fU12EZEPYmAiIiJMMvj48eMEwIEDB5J8sMTfvXt3kx9l9VdWcXwrfzabdsKig37tHfFw5I4dO1Kn03HZsmUEwBkzZpRZNjc3l35+fnR2dualS5dkt80qIhIEwdiTzJ07t8zrJ02aRADcunUrExISCIDOzs4cOHAg169f/8xAKb1WS13JecbPXcWji/uwctevmJyRyIMXny8pPeyofeedd4zbqEJCQp75Q324nLXOnrWKiMj78cH+/v5lBl2VlJSwcuXKrFatGm/cuMGqVasSAFUqFQEQAN3d3Tl8+HAmJiY+Wlh/kbPbV2a9F97m6iQ99UlfsqtPHfaetpFJz9G8SCQ/P5/169c3hiaL88/ff//9qWXEueazQk2kYjURkQ+yY/j6+j71aWDDhg0EwDfffNPoWP3mm28oCAJPnDjBqVOnslatWgRABwcHzps375FfXnH6RSbliIrRMfPKVd5+DgUkIjpqPTw8jL620lwk5P08BBqNhv7+/mZtizYXq4qIJL/++msCYNu2bUtd5xFjkqKioow+s8e7Z0EQ+Msvv9DX19cY221pws/nAXGTYZMmTYxhyoWFhY9ck5qayqpVq9LR0dHitISmYnURCYJgPIH58Sxrt27doqOjo7GnKcuxmpqayvDwcAJgdHS0tU23a0QfY2hoKAEwPj7e+J5Wq2WbNm0IgPPmzbO6LVYXEUkWFhaySZMmT+S9+eqrrwiALi4uJjtWtVotw8LCCODJOdI/CK1Wy6Pd6YcAAAbISURBVFatWhnnjd26dSN533Mg9u4jRoywSbiMTURE3s8oEhwc/EgwWWhoqHECbU5SczGYypRdsc8zycnJ9PHxoVqtJgBev37dmFm3W7duNtt/ZzMRkeTVq1fp7+9vTM4g/oomTJhgdl3iqUcPOyf/iYghygDYrFkzAmD79u3NSgQmFRVp22ODzp8/j44dOyI7O9v42vjx480+jG///v1ITExEZGQkatSoIbeZfyvmzp1r/H9YWBgSEhLg6elpOwNsJteHEFdblT/5/6y9K7k0TDxGRl5at26NGTNmYPbs2SgsLMTAgQMxYMAASWeW/RMpKSnBvHnzcPjwYQQGBiImJgYNGjSwvSE2l+1DXLhwwfh4P3r06HI/juDvRFZWFlu3bk3gvo/SkqMg5KJcRUTeTx4urv1069ZN9s15zyMXL15kSEiIcb2svH98Np9Yl0ZRURGGDx+O9evXo169eli5ciWaNWtW3mbZJT/99BPGjh2LvLw8zJgxA7GxsWVOAwqu/oL4H/9AFpygpg4q9wC469zQ5f8OQ2M5JjS20WoBM65e5IULF3jh4kVeuX6Tdx/zBer1ek6dOpUqlYqOjo785JNPJO1oeN7Iz883OlwrVqzIFStWlF1Id40bJv+Lrfp/xN3J4pqRlhe+6cHqfb6nXAc/2EhEhcw89SV7ermz7Vs/MH7B+xzcNpwjvjvNxz1gv/76KwMCAgiAXbt2ZUpKim1MtGMOHTpkHL5atWpl2uZFw01uHFuPPm1n8GjhY+9lLWbc7DOUy09tszmRPukzdvSK4Dep93uXnO97s4LPcK4rxY96+/Zt40mE3t7ejI+Pf+52u5pCUVERp0+fTo1GQ7Vazbi4OJPnP7mbX2aQcwP+d38pN1ifzKRk+UIdbCQiAzMW9qR329m8qCdJPc/MaEGXuv+Xv5e+gYOCIHDx4sWsUKECAbBNmzb/GF+ZIAhcvXo1g4KCCIA1atQw78QiQxoX9HCnU+uPeN4GYTE2ElEOV7xUmQ0nbuPl84nc9OXL7Nw6knN+v82yZj3JycnGQ4zxl1MxNTXVJlaXB0ePHmX79u0J3I/ujImJKTNf5RMU/syhlRxZ960/+JTfqKzYRkQFGzgyoC6HzFnMb2e9xs71wjhy0Z80x7uzf/9+Yx5oNzc3xsXFybL33164cOECo6OjjQ7pgQMHMikpybLKsheyh7Mj28+5Ktu851nYRETaX15jzToTmPDXA8Lt5QPo7daecy6a9xENBgOXLl1KPz8/YwjJmDFj/rZ78wVB4J49e4ybNoH7Rzc8K5zYJLS7OC7QiQ2nHHpeeqIS7v9vAwaM2kTxIUG79WX6O/4fvptoWcxvQUEB58+fzzp16hhv/osvvsjdu3f/LSbgJSUlXL58uTEuCgA7dOjA9evXy5Q2UMtD74WyYp1x3H770QmDIeMgtx3IKHMaYQ7WF5HuBOPCKvOlFX+FbOivc/nAQHq2/pAnJf5MDAYDN23axM6dOxu/jBo1avCtt97igQMH7GqdSavVcvPmzYyKiqKXlxcBUKPRcMiQITx8+LAVGrzIVRO7sGn7aH60bBN3bV/PFd9/xyUbT/C2zLfF6iLaNvclBjkG8F8T/8cPp73N6J7t2TXqE/6aLu9ofezYMY4ePZre3t5GQQUEBHDChAlMSEgol5js3Nxcrlu3jsOGDaO7u7vRruDgYE6ZMsXsc2wtQZ+XzNOJ+3ng+BVmW2lsswu3h5zodDokJCRg7dq1WL9+vTFuydHREU2bNkXr1q0RHh6O8PBw1K5dW7bIAZ1Oh9OnTyMxMdH4d+HCBeP7tWvXRmRkJCIjI9GsWbPnKmLhuRPRw+j1euzbtw9btmxBYmIijh8/Dq1Wa3zfy8sLQUFBCAwMREBAAAICAoz/r1ChAhwcHODo6AiS0Ol00Ov1yMvLQ1paGlJTU5GWlmb8//Xr11FcXPxI3a1atULbtm3Rr18/NGnS5LkSzsM81yJ6nHv37uHUqVPGnuLEiRNISUnBnTt3JNVbpUoVBAcHo2XLlsZerk6dOlCr1TJZbt/8o0T0NAoKCoy9ivhXXFwMvV4PnU4HlUoFR0dHODg4wN3d3dhbBQYGws/PD87OzuX9EcoVRUQKkvln9LcKVkURkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJk/j/Z+K3kVbJzXwAAAABJRU5ErkJggg==)
Find the value of ‘x’ in the given figure
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAAC+CAYAAAA1Iu3AAAAgAElEQVR4nO2dd1hU1xb235mhK01UpCgo9s8CNuztYtRce9BrB03UFEu+5BojAWO8McaYmKr5NJpY0Kgx9h4j0cSCPfaKIk0QAZEyODPn/f4wZ2woM3PODBNzfs/Do8/M2XuvOfPO3vvstfbaKpKEgoIE1OVtgMLfH0VECpJRRKQgGUVECpJRRKQgGUVECpJRRKQgGUVEFlBy7SpSDOVthf2giMhcCvZjxutzcUpX3obYD4qIzCIPe2LH4csUD1RxKG9b7AdFRCYj4NaOhdhz2x2qylXhq9w5I8qtMBEhfRMWnmmGF0N0cPDxRWXlzhlRboUpGJKxZmESOo3rgOJbufCqWhXKaPYARURlosfFBZOx/KYBJ5bMx+oj2ahUtSo05W2WHaGIqAzunV2JTV7Tseqz1zE6uhuCNAIq+VZVbtxDKL3ys7hzAN9t88SwtxvCXQ3gXi6yc5xQuYqHIqKHUO5FqQjIPLoCMS8NxuJkZxgEAAVJ2Lf0B+y8Xojzv65FYsq98jbSblApkY0KUlF6IgXJKCJSkIwiIgXJKCJSkIwiojLIycnBpk2bytsMu0ZZJ/oLQRCQlZWFtLQ0pKeno6ioCHq9HsuWLUNycjIKCgrg4OAAd3d3BAYGIiAgAN7e3lCpVOVternzj3vEv3v3Lo4ePYrExEScOHECKSkpRuHo9Xqz6nJ1dUVAQAACAgIQHByMFi1aIDw8HE2bNoWTk5OVPoH98dyLKC0tDdu3b8ehQ4eQmJiIs2fP4uGP7OTkhICAAGPvEhgYCH9/f1SsWBFZWVmIjY0FAAwcOBARERHIy8tDWloaUlNTjf9mZGRAEARjnc7OzmjWrBnCw8PRtm1bdO/eHR4eHjb/7DaDzyHJycmcO3cu27ZtSwDGv4oVK7JLly6cOnUqN2zYwLS0NAqC8NR6pkyZYizbqFGjp16r0+l46dIlxsfHc/z48WzZsiUdHR2NZZ2cnNi7d28uXbqUubm51vrY5cZzI6Ls7GzOmTOHrVq1Mn55Go2GERERnDdvHk+fPk29Xm9yfXq9nv7+/qxUqRL79etHADx27JjJ5YuLi3nw4EF++OGHDAsLM9rk6OjInj17cunSpdRqtZZ8VLvjby+iixcv8rXXXqOrqysB0MHBgT169OCiRYt469Yti+vdsWMHAfCNN97gtm3bCIATJkywuL4rV65w9uzZbNmypVFQvr6+nDFjhiQ77YG/pYgEQWBCQgJ79+5t/EJCQkL41VdfMScnR5Y2hgwZQgA8cuQIdTod/fz86OPjw5KSEsl1X79+nTExMfT29iYAuri4cNy4cTx//rwMltuev52IDh06xDZt2hjF06FDB65fv96soaos8vLy6OLiwoYNGxrnQZMnTyYArlu3TrZ2CgoKOH/+fNapU8f4eQYPHszk5GTZ2rAFfxsRpaamcvjw4cabHRkZycOHD1ulrYULFxIAZ8+ebXztzJkzBMC+ffvK3p7BYOCmTZvYunVrY88UFxfHgoIC2duyBnYvosLCQn7wwQd0c3MjALZs2ZL79++3aptt27alWq1mWlraI6+3aNGCDg4OzMrKskq7giBw5cqVDAwMJAD6+/tz2bJlNBgMVmlPLuxaRPv27WNwcLBNb+ilS5cIgD169HjivW+++YYA+MUXX1jVBvGHIz4stG/fnteuXbNqm1KwSxHdu3ePsbGxVKvV1Gg0jImJ4d27d23S9nvvvUcA/Oabb+jp6ckaNWowMjKSGzduZHp6Oh0dHRkaGmoTW1JSUjho0CACoIeHB+Pj423SrrnYnYguX75sXOsJCQnhoUOHbNa2wWBgjRo16OnpyXPnzjEsLIzVq1c3zsN8fHwYEhJCADx58qTN7IqPj6eHhwcBcNiwYczLy7NZ26ZgVyJaunQpK1asSAAcPXo08/Pzbdr+r7/+SgAcN27cI6//+eefnDx5Mv39/Y2CGjNmjE1tS0pKYrt27QiAQUFBPHDggE3bfxZ2ISKDwcB3332XAOjl5cU1a9aUix0jRowggKd+Qffu3ePYsWMJgGq1mkeOHLGpfTqdjjNmzKBGo6GzszNXrVpl0/afRrmLqLi4mIMHDyYANmjQgElJSeViR35+Pt3c3Fi3bt1n+tMEQWDHjh0JgFWrVi0X18WePXvo6elJAPz444+faa8tKFcRZWdns3379gTATp06ybbabAnff/89AXDmzJllXnvy5EnjsDZ37lwbWPckZ8+eZVBQkHH41el05WIHWY4iSkpKYt26dY2TxfJ2Rnbq1IkqlYo3btww6fpGjRoRACtVqiTrark5ZGRksHnz5sYlifJanCwXEaWkpBh/RbGxseXeHSclJREAIyIiTC7z+eefG3uj48ePW9G6Z1NQUGD0IUZERLC4uNjmNthcRJmZmaxXrx4BcNasWbZuvlSmT59OAFy+fLnJZTIzM6lWqwmAS5cutaJ1ZaPT6ThgwAACYJ8+fXjv3j2btm9TEeXk5LBp06YEwJiYGFs2/VQMBgNr1qxJd3d3s4eDHj16EIBN17KehlarNdozZMgQmw6xNhNRfn4+w8PDCYATJ04s9yFMZO/evcZ1KXNZt24dAfCdd96xgmXmU1hYaHxyfOWVV2x2j20iIr1ez+7duxMAR40aZVcOxVGjRhEA9+3bZ3bZkpIS+vj40M/Pr1yfjh7mzp07xsC3uLg4m7RpExGJ/qjevXuX25NMaRQUFLBixYqsVavWo79aQyY3T+nP2F0PnhgN2Qe58P33+MG0OH66JYliaNqECRMIgNu3b7et8c8gOzubtWvXJgBu2rTJ6u1ZXUQbN24kANauXdvufD7Lly8nAH7wwQcPvWpg+ppohri4st/ywvsvlZzkJ13b8u29d0l9Euf1bsUJu+4H3B89epQA+J///Mf2H+AZnDp1iq6urvT09OTly5et2pZVRXTp0iV6eHjQzc2Np0+ftmZTFvGvf/2LAB4JszDc+JGTXovhK03c/xKRgVkrIlktNJbHdSRpYObCnvRqM4vn9PdXsBs1akRnZ2e728mxYsUKAmDjxo2tuoZktW3UhYWFGDBgAPLz87Fo0SI0atTIWk1ZxI0bN7Bnzx507twZwcHB9180JGPFp0fQ7t0B8DPemSL8tnkPikIaoq4DAKjhVb8eqpzciV1pAlQqFaKiolBSUoLVq1eXz4d5CkOHDsXEiRNx+vRpjB079pH9dnJiNRH997//xZkzZzBp0iQMGTLEWs1YzPLly0ESUVFRf71iQNKyuTgXMQUv+T+U1tOQhivXCuFZpYpxz7nayxPuQgqSrt3fMTts2DBoNBosXbrUpp/BFObMmYN27dph5cqVWLZsmXUasUb3tm/fPgJgkyZNbL7wZQqCILBOnTqsUKGCMdhNd3EhJ8bt4G0DSd0JxoX+NZzp/uT7zZxZe9Je42Rad3Iaw5yrc9xDE+8XX3yRAHjhwgXbf6AySElJobu7O729vXnz5k3Z65e9J9JqtRgzZgzUajUWLVoER0dHuZuQzMGDB3H58mW89NJLqFixIiBkID7mW5xN24xpE8dj/KQ5+CVdizMr/ouYldnw8lRBW1wMcTAQCotQpPKBb5UHPVZ0dDQAWO/XLoHAwEDMnj0bubm5ePPNN2WvX3YRzZw5ExcvXsSbb76Jli1byl29LIjDzoOhzAl1XoxEp2Bf+Pr6wtfXBxUc1HD2rIoq3tXQskVN3ElJQf5fV+tSbyCrUhha1H2QVKV3797w8vLCsmXLYDDY3xFE48aNQ7t27bBq1Sps2bJF3srl7NZOnTpFBwcH1qxZ0263uxQVFdHDw4M1atR4+qLnw8MZSd3pWWxXcwTX5ZFkCfe/3Zih7x7k467OV199lQD4yy+/WPMjWMy5c+fo5OTEwMBAWaNGZeuJSOLVV1+FXq/HggULUKFCBbmqlpWNGzciPz8fI0eOhFpt2sd3aPQm5r2lw9Jpi7Duhzh8cXMUFr7XGi6PXScOaUuWLJHZanlo0KABYmNjkZqaiunTp8tXsVxq3LJlCwFw4MCBclVpFUT3iyULcAWpp3j0TDoLn/K+IAisV68eXV1deefOHWmGWomSkhKGhITQ2dmZKSkpstQpi4gMBgPDwsKoVqvtej95Wloa1Wo127VrZ7U2Zs2aRQBctGiR1dqQirhS/+qrr8pSnywiWrt2LQEwKipKjuqsxuzZswmA3333ndXaSElJoUqlYocOHazWhlT0ej0bNGhABwcHWWLaJYtIr9ezYcOGdHBw4NWrVyUbZC0EQWCDBg3o4uJidR/eCy+8QAC8cuWKVduRwk8//UQAjI6OllyXZBHFx8eXulfL3jh8+DABcOjQoVZvS/RZTZs2zeptWYrBYGBoaKgsUxBJIhIEgU2aNKGjo6PJAe7lxeuvv04A3Llzp9XbKiwspIeHB4ODg+0qdupxxAgLqR2AJBEdOnTILsMgHker1dLb25sBAQE2i2d65ZVXCIAJCQk2ac8SxNDgihUrSlo3krROtGDBAgD3V0Ptmc2bNyM3NxcjRoyARmObMxPFNSN7dMqKqNVqjBkzBgUFBfjxxx8tr8hS9eXl5dHV1ZV16tSxm3jpp9GrVy8CsOnygyAIrF279iNOXnskIyODDg4ObN68ucV1WNwTxcfHo7i4GGPHjrXrrPKZmZnYvn07wsPDUb9+fZu1K8YZFRYWYt26dTZr11yqVauGvn374tixYzh27JhllViiPEEQ2LhxYzo5Odl95tPPPvuMADh//nzLKtDd5JE1X/Hjjz/hR3FTGPv1LiaZuFn3+vXrBMAuXbpY1raN2LVrl6RMJxaJ6Pz5838LF8fDYrdkn3/xhRV8vXtfTt149b6z1ZDNXyaFMrjfIl41cX7etWtXAuD169fNbt9WiHmZKlWqZNGuFYuGMzGUoE+fPpZ1fzbi5MmTOH36NPr27Qtvb2+zyhqSlmLEizMhTFqMD/vUuu9sVfug61tRCNo5E5/vKzGpHjHcxB7jjETUajV69+6NnJwcHDp0yPwKLFFu586dqVar7X4omzRpEgFw69at5hXUX+SX//JmwIifefvx9+4uYz9XJ3b9Oq20kk8gbksKCQmx6weQ7du3EwDfffdds8uaLaLc3FxqNBq2bdvW7MZsSUlJCStXrsxq1aqZ3UXnbohigFMjTj38ZOJz3ekP2NzRnQPiTV9XiY6OJgD+/vvvZtlhS4qLi+nm5sZGjRqZXdbs4Wznzp0wGAzo1auX+d2eDdm+fTuys7MxfPhwODiYc6xbAXav3oKsOr3Qr+njx00JyNi7D+c1YWjXxs3kGsUhzZ7XjFxcXBAREYEzZ84gOTnZrLJmi2jr1q0AgH//+9/mFrUpYmDYgxBYE9Ffx7lL+XBt0BT/53EN6c9i6dIDcHkhGoODTV+07NixI4KDg7F69WoUFRWZZ48NEb9T8Ts2FbNFlJCQAH9/fzRu3Njcojbj1q1b2LJlC5o3b27+fjeVK1xd1HBydcGjMhGQ8fMsLLgUirc/GAZ/M+6cWq3GyJEjcffuXWzYsME8e2xIz549AQB79uwxr6A5Y19WVpbVjiaQky+//JIA+NVXX1lQWsfTH4bTvdG7THxoSqQ99//Yp2ZdDl1+hZakbrhy5QoBsFu3bhaUtg2CINDX15e1atUyq5xZItq5c2cpe9ftj2bNmtHR0dHyp8fCk5w/qBnbRM/lT9u28MfPJzN65Jv8dn8mpfjkO3ToQJVKJVtYqjXo2bMnAZi1JdwsEYmhn7bINGEpp06dIgD2799fYk165iYd54FDp3jttlaSeEQWL15sVxniSiMmJsbs6AOz5kTHjx8HADRr1sy8MdOGPLmnzFI08KoZhjbhjRFcyVmWDXqRkZFwdXXFkiVLrLYvXiridyt+1yZhjkpr167NqlWr2u2imU6no6+vL6tUqWKX27dJGo/bsocUfaUhJkEdPny4yWVM/oEVFBTgypUrCA0NtVuv/c6dO5GZmYmhQ4fa5fZt4EEPaa9704KDg+Hl5YWTJ0+aXMZkEaWlpQEAatasab5lNkIcysSAMHukS5cuqF69OlatWgWtVlve5jyBSqVCUFAQUlNTTS5jsohu3rwJAPDz8zPfMhuQk5ODjRs3okmTJggNDZWt3qtXr8qad0ij0WDEiBHIy8vDpk2bZKtXTvz8/JCXl2eyyE0WUUZGBoD7QUz2yOrVq3Hv3j0ZeyEDkg/9jC6du2JkVDT+PH1apnrt3w0ifsdix1EWZovIXnuiJUuWQKPRYOjQoTLUpsf5b/ujYdtIpKTewL0SLdp364OcO3dkqBuoW7cu2rRpgx07dhjvqz0hfsem2vZciOj8+fM4fPgwXnzxRfj6+kqvsOR3jJ+2BUUPPYUXZF5HZPRo2R7No6OjIQgCVqxYIUt9cmI1EYldmz0OZ/KtDd3n5J8XsDf7UbGo3GogYcM6fP7557K0MWjQIDg7O9vlmpHVhrOcnBwAgI+PjwVmWQ+DwYDly5fD29tblvCUvLw8vDTkExgAVPhrJUOlqYwOU5fBz98f77zzDv744w/J7Xh5eaF///44e/aseQt7NqBy5coAHnznZWGyiPT6+0kunZwej48oX3bv3o309HQMHToUzs7OkuoiiejoaCQlXce0aVNxcudCfPy/T7D4lyPYFdsJP61ZA5VKhUGDBiEzM1Oy7fa6ZiSusYnfeZmYuiop5ny2t9XqIUOGEAAPHz4suS4xa8gLL7zw1J2yc+fONe7gkHoUg16vp7+/PytVqlTu5709zMGDBwmA7733nknXmyyiTp06Ua1WW2yYNcjLy6OLiwsbNmwoWdy//fYb1Wo1AwMDn+n9FwSBkZGRBMCpU6dKapMk33nnHQLgzz//LLkuuRCTX0yZMsWk600ezjQaDQRBsKtJ4Jo1a6DVahEVFSXJFZORkYH//Oc/0Gg0+Omnn4xzgtJQqVRYvHgx6tati1mzZmHz5s0WtwvY55qRmLjU5C3npqpTzLljL6fpkGS7du2oVquZlmbazovS0Ol0xuOdzAliE8/O8PLykpyXqWXLlnRwcGBmZqakeuTi999/Nys1jsk9kRjsrtPpzNS1dbh8+TL279+PF154Af7+/hbXExMTg3379mHw4MEYP368yeUaN26MBQsWIC8vDwMHDpTkB4uKioJer8fKlSstrkNOxAm1yRscTFWnOIFNT0+3WOFyEhsbSwCSzoZfv349AbB+/foWJ10YN26cpC3I5P2jpZycnBgaGmpxHXIiHgb45ZdfmnS9ySJ66623CIDHjh2z2Di5ELf9enp6Wnxw7uXLl+nh4cEKFSrw7NmzFttSXFxsPBF6yZIlFtfz0ksvEQBPnjxpcR1yMW/ePALgmjVrTLre5OHM3FVMa/Lbb7/hxo0bGDx4MFxcHs8mXTbFxcWIjIxEfn4+vvvuOzRs2NBiW1xcXLB27Vp4e3vj1VdfxalTpyyqx57yGZntnTBVnWLaWntIrTtixAgC4IEDBywqP3r0aALgG2+8IZtNYh5vSw8HvHfvHqtWrWoXUZliljdTc32bLKLdu3cTAP/3v/9ZbJwc5Ofn083NzeLkWmKwfKtWrWRf4BOPKR0wYIBFtolThvLeCPHvf/+bAEyeJ5osojNnzsj+67WE77//ngA4c+ZMs8ueOHGCLi4u9PHxYXJysuy26fV648r+p59+anb5P//80yjC8qR58+asWLGiydebLKLc3FzjYcDlSadOnahSqczOVpubm8tatWpRpVJxx44dVrKOzMzMZEBAADUajUUnXIeFhdHR0ZHZ2dlWsK5sBEFglSpVWLduXZPLmLXbIzAwkNWrVzfbMLkQdyJERESYVU4QBPbt25cA+P7771vJugfs37+fDg4O9PPzY0ZGhlllv/jiCwLg119/bSXrnk1aWhoBMDIy0uQyZomoT58+BFBueYmmT59OAFy+fLlZ5UxxrMrN559/TgDs3LmzWav8WVlZdHBwYIsWLaxo3dMRHxA++ugjk8uYJaL333+fALhr1y6zjZOKmHPZ3d3drLPURMdq9erVbSp+QRA4cOBAixJHib3mmTNnrGTd05kxYwYBcPv27SaXMUtEYgb2jz/+2GzjpLJ3714C4OjRo00uk56eTl9fXzo6OpbLZsE7d+6wbt26BMCNGzeaXE5cSZ88ebIVrSudfv36EYBZZ8WaJaKUlBQC4KBBg8w2Tiri2o6pk9WHHavlNb8gydOnT9PNzY2enp4mO2pLSkro4+NjUZY3qQQFBTEgIMCsMmaJSBAEVq5cmSEhIWY1IhUx72GtWrVMXn+ZPHkyAXDw4MHlHkgnLtSGhYWZ7KaZOHEiAXDbtm1Wtu4Bt27dIgD26tXLrHJm52zs37+/zY9hEr8EU1PaiMNBgwYN7CabvXg+7CuvvGLS9ceOHbN5ry+ejjR79myzypktInHF11QPrxyIC3jXrl0r89qHHavnzp2zgXWmodVq2aJFCwLgDz/8UOb1giCwUaNGdHZ2tigHtyUMHTqUAMx2SJstooyMDOPjsi24ceMGVSoVO3XqVOa1RUVFbNq0KQHwxx9/tIF15nHt2jV6e3vTxcXFJG/9p59+SgD89ttvrW6bTqejt7c3g4ODzR7+Lcpj3aJFCzo5OdlkqJg5c6bJv95Ro0YRAMePH291uyxl69atJjtqMzIyqNFo2Lp1a6vbJUYzWnLvLBKRuF60fv16S4qbjCAIrFOnDt3c3Mo8j2vRokVWc6zKjRhQ169fvzJ/9aIz9MKFC1a1acqUKWavD4lYJKIjR44QAEeNGmVJcZM5cOAAAXDkyJHPvO748eN0dna2mmNVbvR6PSMiIgiAc+bMeea1a9askW1nydMQBIENGzakm5ubRUF+FonIYDAwKCiI7u7uVh3Sxo4dSwD89ddfn3qNrRyrcpOVlWV01O7du/ep1xUXF9Pb25uBgYFWc9mIW4QsfRK0+NC8Dz/80KrHgxcVFdHT05M1atR46jmqBoPB6M+zhWNVbg4cOEAHBwdWq1btmY7a1157zaruppdffpkAuHv3bovKWyyi9PR0ajQaqzkKf/zxRwJgbGzsU6/5+OOPbe5YlRvRa9+pU6enrk4nJiYSAIcNGyZ7+3l5eXRzc2Pt2rUtPvRY0kHC4sKjNYL3e/To8cwQzYSEhHJxrMqNIAgcNGjQM3ecCoLA+vXr09XVlXfu3JG1/fnz51u0wPgwkkS0Y8cOAtKPxH6ctLQ0qtVqtmvXrtT3y9uxKjf5+fmsV6/eMx21Yq8rZ4y7IAhs2rQpHR0dJW2clCSih4/ElnNVVYz/KW2+pdPp2KFDh3J3rMrNmTNnjI7a0lxKqampVKvVbN++vWxt/vHHHwSkH0kvSUTkgzHd1AwSZSEIAhs0aEAXF5dSF+PsybEqN/Hx8QTA0NBQFhUVPfF+9+7dzdqFURaiO+ngwYOS6pEsouLiYgYEBLBChQrMysqSWp3xcXPIkCFPvGePjlW5EZ/EXn755SfeW7lyJQEwLi5Ocjt79uyxyGNfGpJFRJLffvstAfDtt9+WXNcbb7xBANy5c+cjr9urY1VutFotW7ZsSQD8/vvvH3mvqKiIHh4eDAoKsvhJirzf27dr144AePz4cakmyyOikpISBgcH08XFRVKGDq1WS29vbwYEBDzyyG7vjlW5uX79OitVqkQXFxeeOHHikffGjBlDANyzZ4/F9YvnvZoTjP8sZBERSf7www8EwNdff93iOtauXVtqTPLfwbEqN9u2baNKpWJISMgjx0bt37+fABgVFWVRvYIgsEWLFlSpVLLFcMsmIp1Ox3r16lGj0Tzx6zGVXr16EQDPnz9vfE10rIaHh7Ok5MmDfUmyJOsc965dxm3n779/98x6Lvyp/BMjSCUuLu4JR63olK5QoYJF80Lxfsq5cCmbiMgHW62bN29udmzwzZs3qdFoGB4ebnzNNMfqXR6Jf59jO/qzcv+lTD76NaO6tWXLfl9I+CT2gV6vZ7du3QiAn3zyifF10eVkbhaS9PR0enl50dPTU9K043FkFRH5YOgxdxvxZ599RgCcP38+yUcdq49PsktDf3E221VuzaGz1vL639MDUipZWVkMDAx8xFGbnJxMlUrFLl26mFWXmGty4cKFstoou4hu375NX19furq6mry7QRAENm7cmE5OTszJyXnEsTp9+nTTGtYdZWxoIEdvsSxfkT3zsKNWTDLWtWtXk0OGyQfLI507d5Z9fU12EZEPYmAiIiJMMvj48eMEwIEDB5J8sMTfvXt3kx9l9VdWcXwrfzabdsKig37tHfFw5I4dO1Kn03HZsmUEwBkzZpRZNjc3l35+fnR2dualS5dkt80qIhIEwdiTzJ07t8zrJ02aRADcunUrExISCIDOzs4cOHAg169f/8xAKb1WS13JecbPXcWji/uwctevmJyRyIMXny8pPeyofeedd4zbqEJCQp75Q324nLXOnrWKiMj78cH+/v5lBl2VlJSwcuXKrFatGm/cuMGqVasSAFUqFQEQAN3d3Tl8+HAmJiY+Wlh/kbPbV2a9F97m6iQ99UlfsqtPHfaetpFJz9G8SCQ/P5/169c3hiaL88/ff//9qWXEueazQk2kYjURkQ+yY/j6+j71aWDDhg0EwDfffNPoWP3mm28oCAJPnDjBqVOnslatWgRABwcHzps375FfXnH6RSbliIrRMfPKVd5+DgUkIjpqPTw8jL620lwk5P08BBqNhv7+/mZtizYXq4qIJL/++msCYNu2bUtd5xFjkqKioow+s8e7Z0EQ+Msvv9DX19cY221pws/nAXGTYZMmTYxhyoWFhY9ck5qayqpVq9LR0dHitISmYnURCYJgPIH58Sxrt27doqOjo7GnKcuxmpqayvDwcAJgdHS0tU23a0QfY2hoKAEwPj7e+J5Wq2WbNm0IgPPmzbO6LVYXEUkWFhaySZMmT+S9+eqrrwiALi4uJjtWtVotw8LCCODJOdI/CK1Wy6Pd6YcAAAbISURBVFatWhnnjd26dSN533Mg9u4jRoywSbiMTURE3s8oEhwc/EgwWWhoqHECbU5SczGYypRdsc8zycnJ9PHxoVqtJgBev37dmFm3W7duNtt/ZzMRkeTVq1fp7+9vTM4g/oomTJhgdl3iqUcPOyf/iYghygDYrFkzAmD79u3NSgQmFRVp22ODzp8/j44dOyI7O9v42vjx480+jG///v1ITExEZGQkatSoIbeZfyvmzp1r/H9YWBgSEhLg6elpOwNsJteHEFdblT/5/6y9K7k0TDxGRl5at26NGTNmYPbs2SgsLMTAgQMxYMAASWeW/RMpKSnBvHnzcPjwYQQGBiImJgYNGjSwvSE2l+1DXLhwwfh4P3r06HI/juDvRFZWFlu3bk3gvo/SkqMg5KJcRUTeTx4urv1069ZN9s15zyMXL15kSEiIcb2svH98Np9Yl0ZRURGGDx+O9evXo169eli5ciWaNWtW3mbZJT/99BPGjh2LvLw8zJgxA7GxsWVOAwqu/oL4H/9AFpygpg4q9wC469zQ5f8OQ2M5JjS20WoBM65e5IULF3jh4kVeuX6Tdx/zBer1ek6dOpUqlYqOjo785JNPJO1oeN7Iz883OlwrVqzIFStWlF1Id40bJv+Lrfp/xN3J4pqRlhe+6cHqfb6nXAc/2EhEhcw89SV7ermz7Vs/MH7B+xzcNpwjvjvNxz1gv/76KwMCAgiAXbt2ZUpKim1MtGMOHTpkHL5atWpl2uZFw01uHFuPPm1n8GjhY+9lLWbc7DOUy09tszmRPukzdvSK4Dep93uXnO97s4LPcK4rxY96+/Zt40mE3t7ejI+Pf+52u5pCUVERp0+fTo1GQ7Vazbi4OJPnP7mbX2aQcwP+d38pN1ifzKRk+UIdbCQiAzMW9qR329m8qCdJPc/MaEGXuv+Xv5e+gYOCIHDx4sWsUKECAbBNmzb/GF+ZIAhcvXo1g4KCCIA1atQw78QiQxoX9HCnU+uPeN4GYTE2ElEOV7xUmQ0nbuPl84nc9OXL7Nw6knN+v82yZj3JycnGQ4zxl1MxNTXVJlaXB0ePHmX79u0J3I/ujImJKTNf5RMU/syhlRxZ960/+JTfqKzYRkQFGzgyoC6HzFnMb2e9xs71wjhy0Z80x7uzf/9+Yx5oNzc3xsXFybL33164cOECo6OjjQ7pgQMHMikpybLKsheyh7Mj28+5Ktu851nYRETaX15jzToTmPDXA8Lt5QPo7daecy6a9xENBgOXLl1KPz8/YwjJmDFj/rZ78wVB4J49e4ybNoH7Rzc8K5zYJLS7OC7QiQ2nHHpeeqIS7v9vAwaM2kTxIUG79WX6O/4fvptoWcxvQUEB58+fzzp16hhv/osvvsjdu3f/LSbgJSUlXL58uTEuCgA7dOjA9evXy5Q2UMtD74WyYp1x3H770QmDIeMgtx3IKHMaYQ7WF5HuBOPCKvOlFX+FbOivc/nAQHq2/pAnJf5MDAYDN23axM6dOxu/jBo1avCtt97igQMH7GqdSavVcvPmzYyKiqKXlxcBUKPRcMiQITx8+LAVGrzIVRO7sGn7aH60bBN3bV/PFd9/xyUbT/C2zLfF6iLaNvclBjkG8F8T/8cPp73N6J7t2TXqE/6aLu9ofezYMY4ePZre3t5GQQUEBHDChAlMSEgol5js3Nxcrlu3jsOGDaO7u7vRruDgYE6ZMsXsc2wtQZ+XzNOJ+3ng+BVmW2lsswu3h5zodDokJCRg7dq1WL9+vTFuydHREU2bNkXr1q0RHh6O8PBw1K5dW7bIAZ1Oh9OnTyMxMdH4d+HCBeP7tWvXRmRkJCIjI9GsWbPnKmLhuRPRw+j1euzbtw9btmxBYmIijh8/Dq1Wa3zfy8sLQUFBCAwMREBAAAICAoz/r1ChAhwcHODo6AiS0Ol00Ov1yMvLQ1paGlJTU5GWlmb8//Xr11FcXPxI3a1atULbtm3Rr18/NGnS5LkSzsM81yJ6nHv37uHUqVPGnuLEiRNISUnBnTt3JNVbpUoVBAcHo2XLlsZerk6dOlCr1TJZbt/8o0T0NAoKCoy9ivhXXFwMvV4PnU4HlUoFR0dHODg4wN3d3dhbBQYGws/PD87OzuX9EcoVRUQKkvln9LcKVkURkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJkFBEpSEYRkYJk/j/Z+K3kVbJzXwAAAABJRU5ErkJggg==)
maths-General
maths-
In the given figure, find PR
![](data:image/png;base64,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)
In the given figure, find PR
![](data:image/png;base64,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)
maths-General
maths-
In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is
![](data:image/png;base64,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)
In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is
![](data:image/png;base64,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)
maths-General