Physics-
General
Easy
Question
In an imaginary atmosphere, the air exerts a small force F on any particle in the direction of the particle’s motion. A particle of mass ‘m’ projected upward takes a time t1 in reaching the maximum height and t2 in the return journey to the original point then
- t1 < t2
- t1 > t2
- t1 = t2
- The relation between t1 and t2 depends on the mass of the particle
The correct answer is: t1 > t2
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Maths-
The area of shaded region in the given figure is
![](data:image/png;base64,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)
The area of shaded region in the given figure is
![](data:image/png;base64,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)
Maths-General
maths-
In the adjacent figure, if the perimeter of the Sector is 50 cm and the area is ‘A’ cm2,then angle at the centre of the Sector (q )
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJQAAACsCAYAAACdFYUUAAAavElEQVR4nO2deVxUVRvHfzPDvoO44gYoYLmRSBngmrmUsagYiiaWlQqKaCpmmi0iFuVSvlkuKKmpqIgiKAJuaNYbjFqoL4oKGasi+7DMfd4/cMgNGIY7zAyc7+fD54N37nnOc50f5znLc88REBGBweCBiX5zIVS1E4zWBRMUg1eYoBi8wgTF4BUmKAavMEExeIUJisErTFAMXmGCYvAKExSDV5igGLzCBMXgFSYoBq8wQTF4hQmKwStMUAxeYYLSMCpvpOLPElV7UT9MUJoEl49DKydiccRdcKr2pR6YoDQIaUYEthy7g6RtO3C1RtXePB8mKI2hEr9tS4D1rAkwuboLW06Xq9qh58IEpSk8PI5tf76ChV/4Y5LV3ziwJQr5ahj3mKA0Ag6Zv+xG0ZvvoK/pCLzn2wdFsVux+45U1Y49AxOUJlBzBTuiTeEzpTuE0MLAmTPhQuexfVsKqlTt21NoqdoBRuOUntqC46U1uP9pIM4CACphaq2P8xE/4lTwYIw3UrGDj8EEpe5w2YjcmYO3t0diYS9R3eWyeELf8fvx08HPMfadTmoTatTFD0Y9VF35CbsFE+FrI3riuuGId+HjUIq473/CX2o0hcAEpbZwyL2wBXNmfYP/3r6IyNO38a9uKnHzVBJulBMkf3yNGe+FIV5NOugCtrcBgy/Y3gYM3mGCYvAKE5QGo469FSYoDSMyMhJGRkYQCATo2bMn0tPTVe3SEzBBaRBZWVmIjY1FeXk5dHR0kJmZCWdnZ1y4cEHVrtXBBKUBPHjwAEuWLIGdnR2OHj2KDRs2ID8/H35+fnj48CFGjx6NuLg4VbtZCzHUlrKyMgoJCSEzMzMyMjKiTz/9lIqLi+s+5ziOli5dSgBIS0uL9uzZo0JvibxmziEmKDWkurqatmzZQl26dCFtbW0KCAig3Nzceu//6quvCAAJBAL67rvvWtDTJ2GCUjM4jqPIyEiys7MjgUBA06ZNo1u3bslVdvv27SQUCgkArV27VsmePh8mKDUiMTGRnJ2dCQCNGzeOxGJxk20cPnyYtLW1CQDt2LFDCV42DBOUmpCcnEyurq4EgEaMGEGXLl1SyE55eTkNGzaMAJCzszOVlpby7GnDeM2cQ2yUp0L++usvuLu7w8XFBaWlpYiLi0NCQgKcnZ0Vsqevr4+oqCj07dsXv/32G6ZMmYKamhZORWhRCTOIiCgzM5P8/PxIKBSSjY0N7dmzh6RSKW/2s7KyqFu3bgSAZs2aRRzH8Wa7IVgLpQJyc3MRGhqKiIgIdO7cGcHBwZg8eTKEQv6+iq5du8Lb2xsAEB0djZs3b/Jmu1FaRLoMKioqopUrV5KhoSGZmZlRaGgolZeXK60+qVRKU6dOJQBkY2NDhYWFSqtLBuuUtwASiYTWr19PlpaWpKenR0uXLqUHDx60SN2VlZU0fPhwAkCTJk1SeuhjglISHMfRgQMH6uaTfH19KSMjQ2W++Pr6EgBydXWl6upqpdXFBKUEEhISaPDgwc2aT+Kb4uJi6t27NwGgFStWKK0eJiieSEtLIw8PDwJAAwYMoNjY2BYbWclLVVUVDRkyhACQn5+fUupggmommZmZNGvWLBIKhWRtbU27d+/mdfjPN3fv3iUzMzMCQImJibzbZ4JSkPv379PixYtJV1eX2rdvTxs3bqTKykpVuyUXmzdvJgDUp08f3n1mgmoisnQSU1PT56aTaAI1NTU0aNAgAkChoaG82maCkpOn00nmz5/fYDqJunPp0iUSCARkYGBAmZmZvNllgmoEdRr+8837779PAGjixIm82WSCagB1HP7zSUFBAbVr144AUEJCAi822Vrec0hNTcWYMWMwatQoCIVCnD59GsePH8eAAQNU7RqvtGvXDp9//jkAYPXq1fwZ5kWarYCbN2+Sj48PASAHBwc6dOiQ2s0l8Y1EIiErKysCQGfOnGm2PdZCoXb139/fHw4ODjh79iy2bt2Kq1evwtPTEwKBQNXuKRVdXV0sWbIEAOpaq2bDg9A1kqKiIvrkk0/I0NCQzM3Nad26dUpd/VdXysvLqWPHjgSALl682CxbbbJTLpFI6Ntvv61b/V+2bFmLrf6rK7K3Zt54441m2WlTgqqpqaGdO3dSjx49SCQS0ezZs+nvv/9WtVtqQUlJSd2ILzU1VWE7baIPRUSIiYmBo6Mj3nnnHTg5OeGvv/7Cjz/+CCsrK1W7pxYYGRlh3rx5AICtW7c2zxh/Olc/Lly4QG5ubs1+m6QtcPv2bQJA5ubmVFFRoZCNVttCpaWlwcPDA6+++ipKSkqa/TZJW6Bnz54YOXIkCgsLER0drbCdViWorKwszJo1C/369cPVq1exZ88e/PHHHxgzZkyrnwLgAz8/PwDAjh07FDfCc8upEgoKCmjRokWkq6tLHTp0oE2bNmlMOok6UVZWRiYmJiQUChUasGh8yCsvL0dISAhsbW2xZcsWLF++HLdu3YK/vz90dHRU7Z7GYWBggClTpoDjOOzatUsxI0oQutKpqqqiH374gTp37twq0knUieTk5LpU5qaicfNQrTmdRF2QSqVkaWlJACg7O7tJZTUq5CUmJuLll1/G5MmT0atXL4jFYkRERMDa2lrVrrUqhEIhRo8eDQA4efJk08vz7RDfPJ5OIhKJcObMGcTExKB///6qdq3VMmbMGADAiRMnmlxWbQV169Yt+Pj44KWXXkJWVhYOHz6MCxcuYOjQoap2rdXz+uuvA6htoTiuaac8qtVpVBKJBP369UNRUREKCgpgaWmJbdu2YcaMGdDSUitXWzWdO3fGgAEDcPnyZaSkpMDJyUnusmrTQhUXF+PLL7/EvXv3UFFRgZEjR0IkEuHcuXMoLi5WtXttDkXDnsoFVVlZifXr18PW1hZhYWFYsGABsrKycOrUKdy4cQMGBgZwc3PDvXv3VO1qm2LEiBEAgF9//bVpBZU0+myUp9NJ3n//fbp3795z7127di3Z29tTWVlZC3vZdsnOziYA1L17d7nLqGQeiuM4Onr0KPXt27dum5nr1683Wm7atGnk7+/fAh4yZHTo0IEAyJ2A2OLzULJR2oQJE9C+fXtcunQJBw4cgL29faNlN23ahKioKMTHxzet0qpcXI7dg+07IpF8V6Kg520T2Zs+V65ckbtMiwiKj81Jzc3N8fXXXyM0NFTOEhzyz4dhxuSlOPawA3poJSDAbSL+8z/1OPlSE5AJ6vLly/IXUmaTyffmpLLV8MabYCnlxS+mwXaTaOedmtpL1Vdp9SA96hv8Gylvy63WRURERN3Gr/KgtJB3//59LF68GL1790ZMTAw2bNiAa9euwcfHp1mbkxoYGGDYsGE4fvx4g/dJb4dj9oyd6Lz0G/j2kB3+zIEjKTJvZqBKYQ/aFipvocrKymjNmjV1u5OsXr2aSkpK+KyCtm3bRpMnT67/Buk9CvdsT9r2QXTu8UzW0gP0trmI2s+IIsUSXNseEomEAJCFhYVc9z9/lFd9l459Ppc+CPqIFs4cS66vfUjbxQ2L4ul0kgULFlBeXp5CD9EYeXl5ZGxsXG/orDgXRPbaejRk7TWqeex65en5ZKulTa+EXH/iOqNhzM3NCYBcCYvPEVQZXVwxmPrPT6LSR//+beUgMuo6jfbnPPsFchxH+/fvp969e5NAIKDp06fT7du3eXmQhjAyMqKioqLnfFJIB307kVDHkRZEnqVz5849+jlDu961Iy2tPvTRRZbJ2RQcHBwIAGVlZTV677N9qIdHsf6Hm3jR7RUYAgAMMOgDP7xccBD/2f/kTLVslObt7Q07OzuIxWLs2rULPXv2bEbUlg8jIyOUlJQ8+8GDY9h9LA/6jkNg9+A6rl27VvtzJRI/7E+HoI8nvJ1YJmdT6NSpE4DaV/bl4YkV15qs67hZRLB77JqwnT16t+dw7p9sAN0A1L7rtmLFCgiFQrz11lvYuHEjevTowcsDyIOOjg6qqp7tWkuSE3GhWAfOU5fiw9nd6+ZEio7MxKpyQ7jM8oMjW2NuEh07dgQgv6CeaKG0OnWHlV4Z0q5cx79HztRAyhnC7gXbuisCgQBHjx5FbGwsqqqq4OjoiKNHj/Lhv1yUlpbC2Nj4qatS3Lv+P9wX2eFVly7/PhiXiX1bjqDA1g+fvNcLIjCaQrMEhfaemOPbEzciNuBYXm0eTOXV8xBbzECAZ7snbrW0tISFhQViYmKwZMkSeHl5YfHixaiurubhMeqH4ziUlJQ8R1C1C83Q7Y0XHf5thkrOhOGbs10w5/vVGGmkVNdaJTJB5eTkyHX/UwHADGO/icJPovn43N0Tx5y6AxXGWHxgLUbU82UIhUIsW7YMLi4u8PHxQXJyMn755RelhcBLly7B3t4eurq6T30iQvc+9jATSQCqvcLlxSI4KA5910dh3WvmSvGntdOuXW1DUlhYKNf9z/Yo9F6A76ZT8G1ixW5ubkhNTcX06dPh6OiInTt3YsKECU200jhHjhyBu7v7cz8zemMBFvSbjG8XbUL1oPs4fewaun5+Et+82QOsK64Y2traACD/uXt8DzOlUimtWbOGRCIRLVq0iKqqqni1b29vT7///nv9N1Tm0NWkWDqZfIMesAmnZrNz504CQAEBAY3eq5SlF6FQiODgYCQmJmLv3r0YOnQo7t69y4vt69evo7S0FIMGDar/Jp2O6Dt8LEa/agdz1gNvNrLUa3n7xkrLNhg6dChSU1NhYmLC2ygwLCwM3t7ebJ+CFoSotkMq7xqsUtNXOnTogNjYWCxatAienp7NGgUeP34cp06dwqeffsqzl4yGkPWd5H1JROn5UEKhEB9//DESEhKwZ88ehUJgTk4OZs+ejfDwcJiYmCjJU8bzkEpr88fURlAyhg0bBrFYDGNj4yaFwIyMDLi6usLf3x/Dhg1TspeMp5GtSKidoIB/Q2BQUBA8PT2xaNGi5y6hAEBFRQXCwsLg7OyMoKAgBAcHt6SrjEfk5+cDqJ3IlocWX9kSiURYsWIFXF1d6yZC9+3bhx49emDevHmQSCTIysrCxYsXMWLECCQnJ8uVc85QDrIlF9mMeWOobKl0+PDhEIvFmDZtGhwdHREeHo5x48YhJycH7u7u2L9/P8zMzFTlHuMRGiMooNbJEydO4Msvv4SnpycCAwMREhLCNgtTI2RrePIKSuVvDotEIqxcuRLx8fHYvXs3rxOhjOYja6FkeVGNoXJByRg5ciTEYjEMDQ0xcODAZu1Ey+CP3NxcCAQCuTvlaiMooPav4OTJkwgMDGx0FMhQPuXl5SguLoalpaV6ThvIg0gkwqpVq3Dy5EkWAlVMWloaAKBXr15yl1E7QckYNWoUxGIxDAwMWAhUEbL38Zpy+KTaCgqoDYHx8fGYP38+C4EqoNUJCqgNgatXr8aJEyfw888/sxDYgrRKQcl47bXXIBaLoa+vj4EDB+LIkSOqdqlVQ0S4cuUKBAIB+vXrJ3c5jREUULv3Y3x8PAICAuDl5YWgoCAWApVEVlYWHj58CFtbWxgZyf92h0YJCqhd9f7ss88QFxeHn3/+GW5ubrhz546q3Wp1pKamAmhauAM0UFAyRo8eDbFYDD09PTg6OrIQyDOnTp0CALi4uDSpnMYKCgC6dOmChIQEzJs3D56eniwE8khcXBwAYOzYsU0qp9GCAmpD4BdffIHY2FhERESwEMgDGRkZuHnzJrp16wYHB4cmldV4QckYM2YMxGIxdHV1WQhsJrK9yRU5uLLVCAoArKyskJiYiLlz57IQ2AxkgmpquAMAAcnek2llxMXFYfr06bCxscG+fftaZJuh1kBVVRXatWuHiooKFBQUNCnJcaLf3NbVQj3O2LFjkZqaCh0dHRYCm0BSUhJKS0vx8ssvK5Qx22oFBQBdu3ZFUlISPvzwQxYC5UR2gPXUqVMVKt9qQ97TxMbGYvr06bC1tWUhsB4KCwvRuXNnEBGys7NhYWHRpPKtOuQ9zbhx4yAWi6Gtrc1CYD3s3bsXlZWV8PDwaLKYZLQZQQH/hsAPPviAhcDnIAt3fn5+ihtR5lYw6kxMTAxZWFiQs7Nzi+xcrO5cvXqVAJCVlRXV1Ci2D5JGHWLNN+PHj4dYLIZIJGIhEMDWrVsBADNmzIBI1Ix9kHgWusZRVVVFH330EQkEAlq4cKFcG7y3NvLy8sjAwIBEIhHdunVLYTttuoWSoa2tjXXr1iE6Oho7d+5sk2uB3377LcrLyzF16lTY2Ng0y1abF5SMN998E6mpqXUhMCoqStUutQgPHjzAd999B4FAgOXLlzfbHhPUY3Tv3h1nzpzBe++9B09PTyxcuLDVjwI3btyIkpISeHt7Nzmz4LnwGIpbFdHR0WRubk6DBw9utaPAoqIiMjMzIwB05cqVZttTrz6UtAx5+aWPfi/CvX8eylmQQ3neLaTdyEYZ9+QnNSV5uF9e+3t5bgbuPnhsa+TKfNzJKkR953tOmDABqampEAqFrTYEbtiwAQ8fPoSHh0eTXkRoEB6E3iwqM07Tzs+96QUTPXL67E+qzI6lZS7tSbvzu42VpLtxoTTrjfE0beFqCl3lQ0PHhdGV6lK6kRROy8Z2J0PDUbTpbgGdD32TeugJSNsmgBIkUnpwPoTG9dAjoZ4zfXG14fM9KysrKSgoiABQYGBgqxkF3rlzh/T19UkgEFBKSgovNtWihdKxHoap7i9Av8oGo9yKsXX9bzCz6wDT/g1sHQ0Jrnw/Ca8tTcf4747g528+hleHB0j7bypuVhnCbrgPxjvoQNp3KHqe/BJRHb/A/uVOwP0cZF8Px6eRVlgX7g87Lhf/5DZ8BrGOjg7CwsIQFRWF8PBwuLq64vbt2/z+J6iAwMBAVFRUYM6cOXB0dOTPMC/SbBZSurf5dTLq6UchX4dS9D9SImklVTbQcJScXUz9zAbRyt/+PZuzLD2Jjl3Krj1c8dH5wg5vB9EnP4ipgopp/9vtSH/oQgpZ9R9KKZVS7tY3yMhwLG3Jlv8M5Nu3b5OzszOZmZnR4cOHFX9kFRMTE0MAqH379nKc3yw/zz/Rs8W5T7s8zchikDd9FX+fGv16pXfo+9dNqd2k3VRQzy01GWE0VM+EXpwZQTdqiKgijt7vpkO2Q/3ppz+riaiYDky1JD23r+lWE1cZHg+BCxYs0LgQWF5eTjY2NgSAwsPDebWtHoIqOUi+7bXIatoBypWjsZDmbKGx+rr02ubsesQnpewfx5Ghdj9a9quEiIgqLywmBy1d6r/sApUREVWcpA+66dJLqy4rfEJ6VFQUmZmZ0eDBgykjI0NBKy3PqlWrCAC5uroSx3G82laLPpQk+QROF/XBzEAPdJDDG+6fv5FdI4KhoeETk2hc/jVcy+EAFCPp5K/gXnkH7znpApAi/dRp3NJzxewPnGEAoEocj7N5PTB8tIPCe0K6u7sjJSUFAODo6IjDhw8raKnlEIvFCAkJgUgkwubNm5VyIoWKBVWF/544jYJ+EzFloJwbWnXuii46lTj/84+4XAoANci7tA2rN/8JkYUQKD+H+GQJnNw90FMEgPsbpxL/hOFr0zGluwiAFBlJZ5Fh4YLB1duxKTZPYe+tra1x/vx5+Pn5wcvLC4GBgWo7ESqbvKyqqkJwcDB/0wRPw2ub11SqU+mTAXrksPgCyd8TeUhnVg4hC5GAtE06U3frPjRq4QG69ciAJMmfbPSH0NobjzpHedtpgokZvbUj91GIlFDsbCsS6feiCWuTqED+PnmDHDp0iExNTdUyBHIcR76+vgSA3NzcqLpa0UDfMOrRh1KIGrp//TzFxZ4m8d+lTS5dnX2Zki9nk4RnrzIyMsjJyYlMTU3p0KFDPFtXnB07dhAAsrCwkOt0c0XRYEGpLxKJhBYsWKA2o8C0tDQyMDAgABQdHa3UupiglMjBgwdVHgILCwvphRdeIAC0cOFCpdenFqO81oqXlxdSUlLAcZxKRoESiQQeHh5IS0vDK6+8grVr17ZMxUqXbRtHIpFQQEAAAaD58+eTRMJ3z+1ZampqaNKkSQSA7OzsKD8/X+l1ErGQ16JERkaSiYkJOTk5NSvNtjE4jqsTcKdOnVo03LKQ14JMnDixLgS+9NJLOHTokFLqWbduHTZt2gRjY2McP34c1tbWSqmnXlpMvgwiqg2B/v7+SgmBYWFhBIC0tbUpPj6eN7vywkKeCtm/fz8ZGxvzEgI5jqPg4GACQFpaWrRv3z6evGwaTFAqJj09nRwdHcnU1JQOHjyokI2amhqaPXs2ASB9fX2KiYnh2Uv5YYJSAyoqKmju3LkKhUCJREITJ04kAGRmZkbnz59XoqeNwwSlRuzbt4+MjY1p0KBBcoXA3NxcGjFiRN1o7vLlyy3gZcOwUZ4a4e3tjZSUFEilUjg6OuLgwYP13nv27FkMHDgQSUlJsLW1RXJyMvr379+C3jaAqlXNeJKKigqaM2cOAaCAgIAnQqBUKqU1a9aQUCgkAPTWW2/xmsLbXFjIU2P27t1LRkZGdSEwPz+fxo4dWzeSCwsL4z3jsrl4zZxDbWYHO00kPT0dkyZNQnp6OvT09FBYWIhu3bph3759GDJkiKrde4Y2tYOdJkJEsLS0REVFBQoLC+v2X1BHMclgLZSGwHEchEL1/vtnLZQGoe5ikqEZXjI0BiYoBq8o+loao0Uow/UTB3A6vRTVj7q6AoEQWnom6GD7ElxdXkQHHRW7+BSshVJrDOEwxgfDSvfio4XrcMFgCF4fPwYu9jpI+84LL77ohQ2/l6raySdgLZTaowvrPr1gLCxAF4f+sLPRAWx6od/LDqh5dTCWzluPURdWoK+afJOshdIEBIJnvyid3ujb2xDV6X/huhq9rMwEpaFw/xzFoXOlMHUZicF6qvbmX9SkoWQ0CpeDuJA5qLDWQ83DTKQkJOEfh+WI3PYueqhRs8AEpSkIO2L0ku+xfqg2yv75E4l7QrHsszC8P7cjDu2ei/5q0kqpkbYZDSOASCQEIIJhlwGYsDgcuwN7I/Pwcqz8JR9co+VbBiYojUUHvRxsoItyFOQXQ10WZJmgNIHqalQ/fU2Shh0RZ1FhOgxT3HuiGcf98ArrQ6k1ZfhfYiR2bzuD4poiHAl+Gzm928NEUII7Vy4j28QdYUfXYJ6dusiJpa8weISlrzB4hwmKwStMUAxe+T8Nz4hZCY/jxQAAAABJRU5ErkJggg==)
In the adjacent figure, if the perimeter of the Sector is 50 cm and the area is ‘A’ cm2,then angle at the centre of the Sector (q )
![](data:image/png;base64,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)
maths-General
Maths-
The Area of the shaded region in the given figure is
![](data:image/png;base64,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)
The Area of the shaded region in the given figure is
![](data:image/png;base64,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)
Maths-General
Maths-
Area of the shaded portion is
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)
Area of the shaded portion is
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)
Maths-General
maths-
A Sphere of diameter 6 cm is dropped in a right circular Cylindrical vessel partly filled with water The diameter of the Cylindrical vessel is 12 cm If the sphere is completely submerged in water 'r' , then the level of the water raise in the Cylindrical vessel is
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)
A Sphere of diameter 6 cm is dropped in a right circular Cylindrical vessel partly filled with water The diameter of the Cylindrical vessel is 12 cm If the sphere is completely submerged in water 'r' , then the level of the water raise in the Cylindrical vessel is
![](data:image/png;base64,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)
maths-General
Maths-
A friction clayton is in the form of the frustum of a cone, the diameters of the ends being 8cm, and 10cm and length 8cm Then its volume is
![](data:image/png;base64,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)
A friction clayton is in the form of the frustum of a cone, the diameters of the ends being 8cm, and 10cm and length 8cm Then its volume is
![](data:image/png;base64,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)
Maths-General
Maths-
If BC pass through the centre of the Circle, then the Area of the shaded region in the given figure is.....sq units
![](data:image/png;base64,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)
If BC pass through the centre of the Circle, then the Area of the shaded region in the given figure is.....sq units
![](data:image/png;base64,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)
Maths-General
Maths-
Find the Area of the shaded portion in the given figure in sq.cm.
![](data:image/png;base64,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)
Find the Area of the shaded portion in the given figure in sq.cm.
![](data:image/png;base64,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)
Maths-General
maths-
The Area of the shaded portion from given figure in sq.units.
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)
The Area of the shaded portion from given figure in sq.units.
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)
maths-General
maths-
From the adjacent figure, find the Area of the Rhombus.
![](data:image/png;base64,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)
From the adjacent figure, find the Area of the Rhombus.
![](data:image/png;base64,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)
maths-General
maths-
In the adjoining figure, the area of the shaded portion is
![](data:image/png;base64,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)
In the adjoining figure, the area of the shaded portion is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOAAAADHCAYAAAAAhF9vAAAgAElEQVR4nO3deVxN+R/H8de9t5KKZE8oSchSt80aSkLEWLIk29gNhuxLpI0xtpmIEbLv0gzzs2XNPnbZt7FmmRSFtnvP7w8ztskQ1a18n49Hj8fMvefc87nXfd9zzvd8z/crkyRJQhAEjZBrugBB+JqJAAqCBokACoIGiQAKggaJAAqCBokACoIGiQAKggaJAAqCBokACoIGiQAKggZpZXYF9ZPTbP7tOI/TJP7pwyaTa1OwiAlWteuhNNHL4hIFIf/K9B5QXtSGFk31iJrYn/6+EdwrZIypaQnkN1fTR2mJy6TdPFZnR6mCkP9keg8IoGWgQEqWYdikO8M6tcQQwLUZ1sm1sZnclwDn8/zcqEDWVioI+dBnnQOmHNvP0SRdajdxptDrRxWUK1cGheoOMWcfIXaCgvBxnxHAVE7v2MM9hS2ursXfeoEXHDt2jjR5WarXLCladwThE2T+EFR1lR27ryGr1gHXcorXDyce/ZGJK+5RtkM4I5zE4acgfIrMt4Le2cnuc+loV75K5LyFnCiQxJ8ntvPbvidUHhHBytEtKK/4+OsIggCyzN0Rr+bhQg8s+p+mw4ZjjDf7kz/jVOiXqoBV1XIUEsEThEzJ5B7wGXt2HOaloRtuziaYG5pg/oElJUlCJpN9cYGCkJ9lrq3kxQF2HniGXl03nAt9eDFJkvjxxx85dOjQF5YnCPlbpgKYcmw7ex5rYe/amOL/sebJkycZPXo0rVq14ujRo19aoyDkW5kIYDJHNm3jjqwSteua/OeKaWlpAMTFxdGyZUu2bdv2ZVUKQj71SQFMubGPlTMHMXzpDdJVsRxYEcb/LiZ90gaePXtGly5dmDJlCmq1uDwvCG/LZCvopzly5Ah16tQB4IcffmD06NHo6uri5ubGsmXLMDQ0zOpNCkKelO0dVtq3b0///v2RyWRs27YNe3t7zp8/n92bFYQ8IUd6jM2ePZuaNWtSqlQpkpKScHR0ZN26dTmxaUHI1XIkgAUKFGDDhg28fPkSc3NzqlWrRseOHRk+fDjp6ek5UYIg5Eo51me6bNmyrFu3jsOHD1O1alU6d+7MrFmzaNy4MQ8fPsypMgQhV8nRmxacnZ2ZNm0ay5cvx8LCgnHjxnH69GmUSiVHjhzJyVIEIVfI8buGhg8fTvv27ZkzZw7GxsYEBQWhp6eHk5MT8+bNQ0zWJHxNcjyAMpmMRYsWUbp0aUJDQzE0NGTixIk4OTkxcOBAevTowcuXL3O6LEHQCI3cN1uoUCE2bdrE7du3Wb16NTo6OvTt25c+ffqwatUq6tSpw82bNzVRmiDkKI3duF65cmWWLVvG1q1biY6OBsDFxQU/Pz/u3buHra0t27dv11R5gpAjNDpyRJs2bRgzZgwLFy58vcerWLEiQUFBlC1blmbNmhEUFCS6sAn5lsaHbgkICMDJyYmQkBASExMBKFy4MGPGjMHDw4MJEybQpk0bnj59quFKBSHraTyAWlparF69GoVCQVhY2Ou9nUKhwMvLi2HDhrFjxw7s7OyIiYnRcLWCkLU0HkCAEiVKEBERwenTp/n111/fec7R0ZHAwECSk5NxdHRk7dq1GqpSELJerggggIODA6Ghoaxbt46TJ0++85yJiQkBAQHUqFGDTp064ePj8/qeQ0HIy3JNAAF69+5N7969mTdvHrGxse88V7BgQYYOHYqXlxezZ8/G1dVVdGET8rxcFUCAkJAQqlSpwpw5c0hOTn7nOZlMhoeHx+subDY2NqILm5Cn5boA6urqsnHjRp4+fcrSpUsz7JpWvXp1goODMTAwwMnJidDQUNGFTciTcl0AAcqXL8/atWvZt28fUVFRGS5TrFgxJk6cSIMGDfjuu+/o3r276MIm5Dm5MoAAjRs3ZsqUKSxZsoRLly5luIy2tjZ9+vShb9++rFmzhtq1a4subEKekmsDCDBq1Chat25NSEgIT548+eByzs7OTJo0ifv376NUKsUobEKekasDKJPJWLJkCSVKlCA0NPQ/757/pwubqakpzZs3JyAgQHRhE3K9XB1AeNUtLSIigps3b370InzhwoUZPXo0rVu3ZuLEibRu3ZqEhIQcqlQQMi/XBxDAysqKJUuWsGXLlo8Ody+Xy19frN+1axd2dnacO3cuhyoVhMzJEwEE8PT0ZMSIESxYsOCTGlocHBwIDAwkNTWVWrVqsXr16hyoUhAyJ88EEGDKlCnUrVuXuXPnkpT08ZG5y5QpQ0BAANbW1nh5eTF06FDRhU3IVfJUALW0tFizZg0ACxcu/KRGFl1dXYYMGUKXLl0ICQnB2dn5X93cBEFT8lQAAUqWLMnGjRs5efIkmzdv/qR1ZDIZLVu2ZPz48Zw7dw6lUsnBgwezuVJB+Lg8F0CAWrVqERISwpo1azh9+vQnr2dlZUVwcDCFCxemYcOGhISEiC5sgkblyQAC9O3bl549exIaGsqDBw8+eb1ixYrh6+uLs7MzQ4YMoWvXrrx48SIbKxWED8uzAZTJZMydO5dKlSoxd+7cf9058V+0tbXp1asX/fv3Z926ddSqVYvr169nY7WCkLE8G0B4dY/gxo0biYuLY/ny5Zk+nGzYsCGTJ0/m0aNH2Nra8r///S+bKhWEjOXpAAKYmZmxZs0adu/eze7duzO9foUKFQgMDKRChQq0aNGCyZMniy5sQo7J8wEEcHNzIzAwkPDwcK5cuZLp9QsVKsSoUaNo06YNfn5+tGzZkvj4+GyoVBDelS8CCDB27FhatGhBSEjIZ4VHLpfToUMHhg8fzr59+7C1teXMmTPZUKkgvJFvAiiXy1m2bBlGRkbMnz//s+cdtLe3JzAwELVaTe3atVmxYkUWVyoIb+SbAAIYGhoSERHB1atXWb9+/We/jrGxMZMnT0apVNK1a1cGDx5MampqFlYqCK/kqwDCq/FiwsPD+e233zh8+PBnv46uri6DBw+ma9euhIaG0rBhQ+7fv5+FlQpCPgwgQMeOHRk2bBgLFizg1q1bn/06MpkMd3d3JkyYwKVLl1Aqla8nkhGErJAvAwjwww8/4OjoyJw5cz7pzon/UrVqVYKCgihSpAjOzs789NNPogubkCXybQC1tbVZt24dKpWKRYsWffG1vaJFi+Lr60vjxo0ZOnQoXbp04fnz51lUrfC1ysEAqomP2ca+a6oPPJ3ApV1rWRQWzvo9V0jIgmvhpUqVYuPGjRw/fpzff//9i19PS0uLnj17MnDgQDZs2ICjoyNXr1798kKFr1YOBFDFkzNrmNTBjkq2noT8kfLvRZ4eIriJFTWbdmXAgF50aFwdK9cAouO/PIV16tRh9uzZrFq1irNnz37x6wE4OTnh7+/PX3/9hZ2d3SffFiUI78v+AKqT+EtmjWcTM8hw55fKsRn+HHZaQEz8S5IeniC8Z2We7fWn58S9ZMV9CgMHDqRr167MnTs3y+aTMDMzIygoiIoVK9KqVSt8fX1RqT6wdxeED8j+AMoNsaxZlSpKK4wVGTyffo7jhQayxK8lloUU6BRT0iN0Pv0t4fbeKM5/3vX0d8hkMubPn0+FChWYO3cuKSkZ7IU/g4GBASNHjqRt27YEBgbSokWL/xy/VBDel3PngNpaaGf0uJYdA0e2otjbjxWwQWmlA7p66MsyWknNi0fXuXA5lufvHaWmJz4i7u/d5ouHN7j15FWC9fT0iFgdxoOHD1m+YkWWtWLK5XI8PT0ZOXIk0dHR2NracurUqSx5bSH/y52toKpY7j2EKm5NsXxnr5nK7e3T6NXSg75TV7Jl9XDcW87kXPpzruxdytjmphQx9mL1X3EcnOaBlZkFlRx82J2iJv7gVAY1b0DSy9Lsiopi7969WVqyra0tQUFBSJJEnTp1WLZsWZa+fmr8PW7euMGNv/9u3kvg7b456oRL7Fq7iLDw9ey5koC4nyNvyJUBVF3ZyG/33Bn1nR1arx9N5uzc9riOvor7nF9ZMXM8bUs+4cLxU1xL1ceyUWfcq+igqt4Asx1BRJYKZN04e4h7QOylJfhtMGHakkFUlqXg0N2XRYsWZXkLZunSpZk8eTL29vZ0796d7777Lmu6sKku83PrylSsWPHvP0saBx3nn/Hdnh4KpolVTZp2HcCAXh1oXN0K14BosqANS8hmWh9fJIepH7AxeANl/DfQucyb34ekaF+8J9yn8451tDN7VXYZtzEssa9CMz0g/Qp7ou9iVukpx1TdCehtzubON9Cyrs+dTan0COxByTVruatdlR+DJ1Iq7hQhISH4+/tTpEiRLCtfV1eX7777jooVK/LLL79w4sQJNm7ciImJyWe/ZuKOn9hafAiBwYWQAcgKY9PRGX2A1GPM8D+M04IYIpubkXp2FaO6DSLcvycT650lxEUvi96ZkB1yWQBV/LlqLMvLTGWptymvjz7Vt1gWGMZ911CGOOi+XlrPohEt/lnzzg52nddBUUOJd29rdJO3E3UwkTIV0iju2Rul/nM27D5Kuu0Y3Epp0Wn5cuzt7Zk/fz4jRoxASyvrPgqZTEbz5s2pUKECP/30EzY2NmzYsIGGDRtm/sVU1whf+BTvkDn0NPn3AUv6ueMUGriEkS3/PotW9iB0fgwHG/3M3qjzpLs45LZ/ZOEtueoQNOFAEOMPNSUkuDFF36pM/Xg7m6OTUbq4YJThmmoeR0VxQmWKR39PLBWQeiqK/bEy9Ot64VVNC5KPEBWdiJVLE8oroEiRIkRERHD58mU2btyYLe+nSpUqBAcHU7x4cVxcXJg1a1amG3+S9szkp80bGdmoPu2H/0L0/XebhbXsBjKy1TtNWBSwUfKqDUufjNuwXvDo+gUuxz5/91wxPZFHb1qwuHHrCW+2lsLjP+8QL660ZKlcE8Dnp39mWHhxxszshNnrXV8i9+7Fo75/l9h0Bfr6+u8UrH58kYsP1MAz9uw4grp2d3rbFwBUXI3ay3Xd+vTp54gekHp6J/sfmdKoSZXXe4SaNWuycOFCIiMjOXbsWLa8LyMjI8aPH4+bmxs+Pj506tQpE31TU7l5V5d6LetR/uVZNs0agIuNC767Hv1nI4sq9h4PqYJbU0vebcO6zfZpvWjp0ZepK7ewerg7LWee4+mVvSwd2xzTIsZ4rf6LuIPT8LAyw6KSAz67U1DHH2Sqe2XKV7Sk2dSYz/8whH/JuQCmpJKKivS0f391np/+mc49fsXItiDHV4cTHh7O4rCfmNSzA4H71ciNy1JGJ4UDKxZwJgkgnUdHFzE5NAZFUTm8iGbnwWTsW3/zKrzqu0TtjkHftSsdyysAFTf27OdG0Xo4pC0mZOuj19vu0qULgwcPZv78+dy5cydb3rqWltbrRpnIyEgcHR0/cegMHWr0mMmyiF2cvHWTIwt6UTPtIMFe/Vh6+0MRVHFl42/ccx/Fd3ZvHXwmn2Vue1dGX3Vnzq8rmDm+LSWfXOD4qWtoWzais3sVdFTVaWC2g6DIUgSuG4c9cTyIvcQSvw2YTFvCIEs1D+9nTUcG4ZUcCGA6V7aGEvhjJNfTUzi8aCwz1x7nyd/fn/SLoXg292HLmd3MGvQt33776q9X36EE/q8ojZsXQ166I2OGOyLtHomDSRlMzWvitdaQ7mM9sdSBlGM72JdgQwsPs1e/+HG72XVSlwatm1NM/qqGP2/eJT0hmlVHq+DVtOQ7FU6fPh1bW1vmzJmTrWOE1q9fH39/f+Lj47Gzs+PXX3/99JUVJXDo/QtbV/SmYvzvzF16gYz6KKgfbCR4Qxn8p3fmTRtWEtG+3ky435mwkHaYaQGKMriNWcKWH1uhRzpX9kRz16wCT4+p6B7QHfNbF7ihZU3ZO5tI7RFIl5LXuXhXm6rW1b78gxBek0nZcF/NkSNHqFOnDgDXr1/H3Nw8C15VxZPLR/jjZjqla9hjbaKfqbXTH5zl2KOS2NUsTYEMno+NjUWpVGJhYcHAgQORy7PvtykpKYnQ0FBOnTrFuHHj8Pf3R6HIqJtQBtR3CG1aFd9Sy7i3oi26bz+n+pMVvQdzznspUxoXff3rqr4VSnPriRQOvcx6r2L/fk3VTWa6WDE5rhNzIxbibZnG9n6WtNpVgb5jQpnVuxovN3TBvOsdxpzfw3DzT6xV+Khccw74cQqKVq5H02YNMx0+AK3SNan7gfDBq2EoNmzYwJEjR9i6deuXlfoRBgYGjBgxgvbt2xMcHEzz5s2Ji4v7tJXlpahuZUJRI6P3GlgSOBA0nkNNQwh+K3yg5vH2zUQnK3Fx+UAT1uMook6oMPXoj+erFiyi9sci06+Ll1c1tEjmSFQ0iVYuNCkvwpeV8lAAs1/9+vWZOXMmK1asyPZJPeVyOe3atWPUqFEcOnQIpVLJyZMnP76iOoHrdwxo3rbWWz8mzzn98zDCi49hZiezNw0vife4F5/O/buxpCv00dd/pwmLxxcv8kANz/bs4Ii6Nt1721MAUF2NYu91Xer36YfjqxYsdu5/hGmjJlQR1zSylAjgewYPHoyXlxdz587l8ePH2b49pVJJUFAQcrmcOnXqEB4e/ubJ5BjWTv2RNafj/271TObKmvFElJnE+Ib/XGB/zumfO9PjVyNsCx5ndXg44eGLCftpEj07BLJfrYVx2TLopBxgxYIzvGrDesTRRZMJjVFQVP6C6J0HSbZvzTevWrC4G7WbGH1XunYsjwJQ3djD/htFqeeQxuKQ7D06+NrkoXPAnPP8+XPq1KlDamoq48aNQ0dHJ9u3mZKSwqJFi4iOjqZfv3789NNPaCdswtu2K2seG2FV357yOjKK1x1E0LjmlNMCSOdiaCtchmzjger9f0Y5Jb3Wcnlle4o83c+k5m0IOpKIfmljihWpxDf+C5ja3hydlL0MtnLnRN/TRI+2RMFjwltZ4CP7icubelBSDinb+lKx5QoKuk8iLHwkjYqJ3+2sIgL4AdeuXcPOzo7atWvTo0cPZLIML2lnKUmS2LFjB8uXL8fW1paIiAiM9ZI4fPQaSfrlqWFfE5PP7VmmesLlI39wM700NeytydRpdPoDzh57REm7mpT+0Em08FlEAP/Dli1b8PDwoH///p/XjewzXblyhdmzZyOXy1m/fj3Ozs45tm0hZ4ljif/QsmVLJk6cyMKFC3N0+jJLS0uCg4MpUaIErq6uTJ8+XYzClk+JAH7ExIkTcXV1JSQkhKdPn+bYdosUKcL48eNp2rQpI0eOpEOHDiQmJubY9oWcIQL4EQqFgpUrV6Knp8cvv/ySo+O+aGlp0a1bNwYNGsTmzZtxcHDg8uXLObZ9IfuJAH6CokWLsnHjRi5cuMCmTZtyfPv16tXD39+fp0+fYmdnp5EahOwhAviJlEolCxYseD3OaE4rX748gYGBVKlShbZt2zJ27FgxCls+IAKYCd26dWPgwIGEhoZy9+7dHN++vr4+Pj4+dOjQgalTp9K0aVP++uuvHK9DyDoigJk0a9YsbGxssv3OiQ+Ry+W0adOGMWPGcPToUZRKpUb2yELWEAHMJB0dHdavX8+LFy9YsmSJxi4PWFtbExQUhLa2NvXq1WPRokUaqUP4MiKAn8HExIT169dz8OBBtm3bprE6SpYsiZ+fH3Xq1KF379707ds3ywYdFnKGCOBnatiwIdOnT2f58uWcP39eY3Xo6OjQr18/vv32WxYvXky9evWy7c5+IeuJAH6BoUOH0qFDB+bMmaPRxhCZTEaTJk2YNGkSN2/exMbGhl27dmmsHuHTiQB+AZlMxsKFCzExMSE0NFTj88hXqlSJoKAgSpcuTZMmTfjhhx9EF7ZcTgTwCxkYGBAREcHdu3dZs2aNpsuhSJEijBs3Dnd3d8aMGUO7du149uyZpssSPkAEMAtYWlqyfPlytm7dmivmkFcoFHh7ezNkyBC2bt2Kg4MDFy9e1HRZQgZEALNI69atGTduHGFhYdy4cUPT5QCvJif19/cnKSkJBweHbBuAWPh8IoBZyN/fH2dnZ0JCQnLNYV+5cuUICAjAysqK9u3bM2rUKNLTs2DSRSFLiABmIYVCwapVqyhQoABhYWG5pq+mnp4eQ4cOpWPHjkyfPh03N7ccGe9G+LivI4DqOE6sDmJwtw54dumPb9h+7rzXYJl8czsho3vT2bMTPX1+5LdLz99dIPE86wMH4OXZmb6TVnI6IeORqYsVK0ZERARnz57N3MC72Uwul/PNN98wZswYjh8/jo2NTbYNxy98uvwfQNUt1vSsQ8MhETw0qoRF0UdsGdOE2u3mcfHvEKquLaRjvW/44VA6ZSubojg9l071PZh57u8F0i/wc9tG9F37kOLmpUjY/D0uHtM4/YGrDra2tsyfP5/169d/2lCDOahmzZoEBQWhq6tL/fr1CQsL03RJX7V8PyZM4uZvqdr+KB2jjjLDyQCAF8fGU7/hAswXnmdDl8JEDahCy4Ne7D8WjKMukH6OgLqOzK28ksvL21Lw0AisW1zE58Jm+hjLUT9eTaca4ymx6iJzXT48SlH//v1Zvnw5/v7+XzQ/YHZITU0lPDycvXv30qtXL+bMmYOuru7HVxSyVD4fZjWV89GHeVzaGXdHg9eP6tl1o4PNdGZsOwiexuzc9wCzFi2x+ef7p1WVVs2rErh4B8dS2tLg5QuSdYpQtNCrAwZ5oaIYFUjmXswZ3Kf7fXDrKpUKbW1tgoKCmDFjBgULFszON5spOjo69O3bFwsLC5YsWcLJkyfZtGkTpqammi7tq5LPD0HlKLS0kFKTefn2fl5RjvJltHl27zak3eT6HYmSpY3fmspLi/LljZE9usH1p2oK1GpLiyK/49v3R9Zu3sDsAaNZJ3fHxVaXPXv2cO/ePQoUKPCvPz09PWrXrk1KSopG75z4EJlMRuPGjZk0aRK3b99GqVSyc+dOTZf1Vcnne0Atari5YDp9BdOn7EI5rjEmBdQ8vbSLY7fSoWA6JCfyPE1GQQODd+bSK1BQF4WUwLNECUq6Mm1TKL6jZjJhcDwGVZozM3IqPa0NmKCtTffu3fHx8flgFbt378bV1RVzc3OaNm2a/W87kywsLAgODiYkJISmTZsSFBTEmDFjcmQs1K9dPt8Dgm4DP5ZOcebhz82oUKwYJYwMKNcsmOiHKrSMioGWFgokeG/vJKnVSDIttBWvvoR6Vl7M2HKcq39e59S2OfS0NshocxlycXHhhx9+YOnSpbm2R0rhwoUZM2YMLVu2ZNy4cbRp0ybXXMvMz/J9AJEbUXf4BmL+vMYfO3/jtz3nuXVhJo0NtKhkbQ0FilPcUEbi0wTeXLVTkxD/FJVOMUpk0TDsI0aMoF27doSEhHz6TEg5TKFQ4OXlxdChQ9m+fTt2dnZcuHBB02Xla/k/gH9TGJpiXacedWwqINu3hI23q9GmfQ3QqYl1VTnXzsXwZoCJVM6du4rMsiY1s6jdRCaTsXjxYkqXLs28efNIS0v790Lqp1z8fR5+Q/vQzbsbvQYOw3fGWk7E/deE1FmvVq1aBAYG8uLFCxwcHFi/fn2Obv9r8lUEMDU55dXsQupErv0+mU591mAwYBpDrbVAXo42HZxI2zKD6QefoEbN0xMhzNgUj217T6yy8Cy5UKFCREREcOvWLdauXfves2qeHg5n9sY7lGszjICpgYz+1p1qWrHcfpKzAYRXd/0HBARQvXp1OnTowIgRI0QXtmyQzxthAFI5MsYaj+VP0El7SlLBarQaGsHiUS4YAqDArG8ooac8GeRchp8KFSQlUaJix59Y61Mtyz+gKlWqsHTpUtq1a0eFChWoV6/e38+oefTnHZ4Xqkat2laYFgDKlsfSvkkWV/Dp/unCtnnzZmbOnMkff/zB+vXrKVmy5MdXFj7JVxBAHWqN3cROz3hkhiZUqmJKkffftVZFOoedpLX/BWL+TESvfDWsTAyy7fCgbdu29O7dm1WrVlG2bNm/r71pUc66JiW37WD2uPvUrF4Zi4qW1LStQVkDzR2oyGQyWrVqhbm5OSEhIdjY2BAREUHt2rU1VlN+8lUcghYoVRXHenVxqJ5B+N6iZ2yFY51aVM/G8AGsXLmSlStXYmNjQ4kSJV4/rlu9K5P8BuJhbUTyzSP8tvAHxoyazo57mu/UXb16dYKCgtDT08PJyYn58+fnuuuaedFXsAfMPV6+fMnQoUMJDw9nwIAB1K5d+71rbXIMK9ajdcVXh6WquH38NDaMfUfv49a2nGaKfkvx4sWZOHEiS5YsYcCAARw+fJj58+fnqh4+eY0IYA65evUqnp6exMfHExwcTNmyZd9bIo3z60M5VsSVFk5VKakLaS+SSFYXwKhYIY3UnJG3u7CFh4dz5swZNm3aRIUKFTRdWp4kApgD1q1bR69evXB0dGTw4MHo62c0Pa2cwoYqzq4OZudSHQz05CS/VFCuwbf0rFckx2v+GBcXF0xNTZk9eza2trasWbMmV/byye1EALNRSkoKPj4+LFiwgD59+uDk5PQf3bsUlHPzYZZzIg/vPSAhVUHh0uUwLqydozVnRsWKFQkKCmLOnDk0a9aMwMBAxo4di1z+VTQtZAkRwGxy48YNPD09efDgAQEBAZiZmX3aitqFKGVWiFLZW16W+acL29q1a5kwYQJHjx5l+fLlGBoaarq0PEH8VGWDTZs2oVQq0dPTw8/P79PDl0fJ5XI6d+7MsGHDiIqKws7OjpiYGE2XlSeIAGah1NRUhg4dSvv27enQoQMDBgygUKHc04CS3RwdHQkICCAlJQVHR8cMevsI7xMBzCK3bt3CycmJ1atX4+/vT+PGjb/KcyETExP8/f2pWbMmnTp1wsfHJ+N+rwIgApglzp8/j42NDXK5HH9/fypWrKjpkjSqYMGCfP/993Tp0oXZs2fTuHFjHjx4oOmycqVcEEA18THb2HftE3p7vLjHiW1rCV/4K+eSsr+yj0lLS6NPnz4sXryY1q1bM3jwYNH48DeZTEbLli0ZP348Z86cQalUcujQIU2XletoMIAqnpxZw6QOdvKk7gUAABTrSURBVFSy9STkj/+Y1071gD3TutDAbRi//WVCg3YtqPHp98Nmi7t379KoUSOWLl2Kn58fzZo1+yoPOT+mWrVqBAcHY2BgQMOGDZk7d67owvYWzX1j1M/4S2aNZxMz+K+dX/J5Fno1oOvWKkzdvIbJ3vWpaKTZqyfbtm3D2tqalJQUAgICqFy5skbrye2KFSvGxIkTadiwIYMGDaJbt24amd47N9JcAOVGWNasShWlFcaKDyyjfshvg9sw+JADM1eNp66RZvcw6enpjB8/Hnd3d5o1a8awYcMwMjLSaE15hba2Nr1796Zfv36sXbuW2rVr55o5NDRJ88dM2lp8qK9H4k4/hi2Npe7IANoZf0qpal48us6Fy7E8f+8e1vTER8T9/aP74uENbj156+bSlMf8eSf+P3fE9+/fx9XVldDQUMaPH4+HhwcKxYd+OYQPadSoEX5+fjx48ABbW1u2bt2q6ZI0SvMB/BD1PVb/tJI/9V1pb3eO+X4+DOg/gmkRMST+a+FUbm+fRq+WHvSdupItq4fj3nIm59Kfc2XvUsY2N6WIsRer/4rj4DQPrMwsqOTgw+4UNfEHp+JeuTwVLZsxNSbjO7537dqFjY0N8fHxBAYGUq1atex+9/maubk5QUFBmJqa4u7ujr+/P2p1zt/1nxvk3gAm7OT3A0nIDZ5y/vBzLJ2boGQfUzo44eZ3iDeNoMmcndse19FXcZ/zKytmjqdtySdcOH6Ka6n6WDbqjHsVHVTVG2C2I4jIUoGsG2cPcQ+IvbQEvw0mTFsyCEv1Q+4/fHcfqFKp8PPzo0mTJjRq1IiRI0dSrFixnP4k8qVChQoxevRoWrduzaRJk2jVqhUJCQmaLivH5dq+oKlXL3HtpZxy3X2ZMcKZAgD1zIg/Z8e46RNZ0mMHg8zkJEX74j3hPp13rKOd2au3U8ZtDEvsq9BMD0i/wp7ou5hVesoxVXcCepuzufMNtKzrc2dTKj0Ce1ByzVrualfFutqbg+GHDx/SpUsXjh07xujRo7G2ttbI55CfyeVyOnXqhIWFBfPmzcPW1pbIyEhq1qyp6dJyTO7dAya/JAU5RYoWezNgrpYlHdrao3h5ksMnU0F9i2WBYdx39WGIw5t5DfQsGtHCsTQKQHVnB7vO66DQVeLd2xrd5ENEHUykDGkU9+yNUv85+3cfJd3WFdcSrz6Offv2YWNjQ2xsLIGBgSJ82cze3p7AwEDS0tKoVasWK1eu1HRJOSbXBlBhbEwJmUTyyxe8OTtQYFzRDEOZDJkM1I+3szk6GaWLCxm3Rap5HBXFCZUpHv09sVRA6qko9sfK0K/rhVc1LUg+QlR0IlYuTSgrUxMcHIyzszO1a9dm9OjRYgCiHGJsbExAQAA2NjZ4e3vz/ffffxVd2HJvAM0b41xZxp9nTvP2sJjq9DRUujbUstVBff8usekK9PX133kj6scXufhADTxjz44jqGt3p7d9AUDF1ai9XNetT59+jugBqad3sv+RKbUcitO6RQuCg4MZPnw4HTt2REdHJ2ff9FdOV1eXIUOG4O3tzZw5c3B2diY2NlbTZWUrzQcwJZVUVKSnvdcKpmXHgNGtKXJoOcsu/dM6mcSRvaco4eVDF1M5cuOylNFJ4cCKBZxJAkjn0dFFTA6NQVFUDi+i2XkwGfvW32CmANR3idodg75rVzqWVwAqbuzZzzUDC9b0sOLEuSsEBgZiZ2eXox+B8IZMJqNFixaMHz+emJgYbGxsOHjwoKbLyjYaDGA6V7aGEvhjJNfTUzi8aCwz1x7nzRi0csp5zWfVcF0Wde/HzxsjWTapN1PjB7NqVguKAvLSHRkz3BFp90gcTMpgal4Tr7WGdB/riaUOpBzbwb4EG1p4mL06j4zbza6TujRo3ZxiclCrU5keeZG0uP+hXbwqkwImUrp0aY19IsIbVlZWBAUFYWhoSMOGDQkJCcmXXdjywASdapL+PM6RC0/Rq2iLY+Vi7zXdqnhy+Qh/3EyndA17rE0yGm/l3548eUL37t3ZuXMHrdp1w8Oj8Qc7BAiak5aWxrJly4iKisLLy4uwsDD09PQ0XVaWyQMBzHpHjx6lQ4cOaGlpMWDAgAxGKBNym3379rFo0SIqV65MZGRkvrnlS/PngDlIkiRmz55N/fr1qVy5Mr6+viJ8eUTDhg2ZPHkyjx49QqlUsmXLFk2XlCW+mgAmJCTQvn17Ro8eTf/+/enZs6eYEz2PqVChAkFBQZibm+Ph4cGkSZPyfBe2ryKAJ06cwNbWluPHjxMQEEC9evXE7K95lIGBAaNGjaJNmzb4+/vTokULnjx5oumyPlu+DqAkScydO5c6depgZmbGpEmTKF++vKbLEr6QXC5/PWXa/v37sbW15fTp05ou67Pk2wA+e/aMTp06MXToUL799lv69OmTr1rPBLCzsyMwMBBJkqhduzbLly/XdEmZli8DeObMGezt7Tlw4AD+/v40atRIHHLmU8bGxkyePBk7Ozu6devGoEGDSE1N1XRZnyxfBVCSJMLCwnB0dKRUqVJMnjxZTBryFdDV1X091MW8efNo2LAh9+/f13RZnyTfBDApKYmuXbvSv39/vL29GThwIAYGGh65ScgxMpmM5s2bM2HCBC5duoSNjQ379+/XdFkflS8CGBMTg4ODA1FRUa9voBWHnF+nqlWrEhQUhJGREc7OzsyePTtXd2HL8wFcsmQJDg4OGBoa4u/vT6VKlTRdkqBhRYsWxdfXF1dXV4YNG0bnzp15/vy5psvKUK69I/5jXrx4wXfffcfSpUvx9vYW43IK79DS0qJnz55YWFiwcOFCzp07R2RkZK77gc6T39hLly5Rq1YttmzZgq+vL+7u7iJ8QoacnJzw9/cnLi4OOzs7Nm/erOmS3pHnvrUrV67Ezs4OHR0dAgICqFq1qqZLEnI5U1NTAgMDsbCwoFWrVvj6+qJSfcJUCDkgzwTw5cuX9OvXD29vb1q1aoWPjw9FiuS+qZuF3MnAwIARI0bQrl07AgMDcXd3zxVd2PLEOeDVq1fx9PTk1q1bjBs3jho1ami6JCEPksvltG/fHnNzc0JDQ1EqlURGRqJUKjVWU7bfDzhy5EiKFi36Wa/Ttm1bTp8+Ta9evTA3N6dv375iXE4hSzx8+JBZs2bx4MEDfvnlF7p3766ROrI9gLa2tp9128/Vq1ext7dn69attGvXjm+++QYtrTyxwxbyiJSUFBYuXMiBAwcYMGAAs2bNokCBAjlaQ668I/7GjRtYWlqio6PDkCFDsLGxyeoSBQF41X1xx44dLF++HFtbWyIiInL0Ju1c1wizadMmlEolkiTRpUsXET4hW8lkMpo2bYqvry/Xrl1DqVSyd+/eHNt+rglgamoqw4YNo23btjg7O1OwYEEKFy6s6bKEr0TlypUJCgqiePHiNG7cmBkzZuRIF7ZcEcBbt27RoEEDwsLC8PHxoVOnTpouSfgKGRkZMX78eNzc3BgxYgQdO3YkKSl750LXeAC3bNmCjY0NT548ISAgAAcHB02XJHzFtLS06N69O4MGDeLXX3/FwcGBy5cvZ9v2NBbAtLQ0Ro0ahYeHB3Xr1mXChAkYGxtrqhxBeEe9evXw9/cnISEBe3t7IiMjs2U7Ggng3bt3cXZ2JiQkhCFDhtC1a1cxD4OQ6/zThc3S0pI2bdowbty4LO/CluMX1rZt24a3tzeGhoYEBASIcTmFXE1fX5/hw4cTGRnJlClT+OOPP1i9ejXFixf/4Drqx8eJ3HyaONWrRhyZTIG2vhFlq9WmXk1j3r4qnmN7wPT0dCZMmEDz5s1RKpViUFwhz5DL5bRt25bRo0dz5MgRlEolJ06c+PDyJexpYn2XxUP6MXD6QShbhkJPDxLkXolKzadx+K051nMkgLGxsbi6ujJ9+nQGDhzIt99+KwbFFfIcGxsbAgMD0dLSom7duixevPiDyxYyK0dRuYJybj3o2qwZbftPY21wE5J2TGLUL1f450A22wN48OBBrK2tuXnzJpMnT8bJyUkMFyHkWaVKlcLPz49atWrRq1cv+vXrR0pKyr+We34gmhOpJXBu6vhqenXkFC5fFiNZGn9evck/E+5l+zlgt27daNiwId26dRPjcgr5QoECBRgwYAAWFhYsWrSIkydPEhERQbly5f5eIoWjO/YRV9gJt/r/fOdV3Dx6gvuSAY3tqr+eiStb94DFihWje/fu9OvXT4RPyFdkMhlubm5MnDiRGzduoFQq2b1796snU0+zY+89dOu44VwYQM3j6EAG/Hgcw8aTCO5m8jp42doZW19fH1NT0896jUuXLlGmTBnRHU3I9RISEl6PQ7p582aam5+hjs1kYut707piCrcuneLqy0q4dO7PiO+aY/5W80e2HIJaWVkxYMAA4uLiPvs1ypcvT8GCBdHWFtNmCrlfWloaMTExmJgYc3fnTM5hi29oGKNS/HFw2EDRgE2EDK/8aqbmt2RZANOfXObQ/mNceZiMrnF1Rv8YiumnTVYrCPmH+hGLJx5HZfkdruYKtOTf0NJqCj9u2cyfIypT8b0EfvE5oOrhQeb2b0mLwUs5rzahilUZkveNp0EVF3yjHpK3Z28ThExK3MvOwy8p08AVax1AqwatW1RGfXwLv93OoBeN9AUSjkyXWpiVl5rPPC49e+eZOCmyR1lJu3QHaVWs6ks2IQh5yvPfe0kmWiWkLhsTXz+WcmS0ZKVdUHKefVNKf2/5z94Dpl6YS6dW47nqvoCVw+wo9M6zRWnq2ZQSj38jbO3tz92EIOQxieyO2M4DuRX2dm9a/XWUrWlRMY2Dy5cS897ETZ8XwNSzzOgzhijtjkwNaIpRBovIjYpSWJbG5XMXP2sTeUrqNbYtWsuxJ+8fcKfz6Nw2Vi9awMJV/+PMw7wzbZaQOak397EsuA+jVt1DpbrE5rmL2Pvn34ecOna0djdHfWoG3XoGsuzQ/TenZpnfyaqke+HfSEXlOpLtxFNS2geWehnZTSohV0hmA3dlfhN5ykvpuH9tyUDbTvI7+9anobovbR7WUHLqNU/afe6qdH7vAqlX/XrS4Mh7kjgoF/6R+VZQ1RWW/bKVeG1Hxnar8YFm1HQunzxLgqRFjaqVP+8nJY94cWQKYxddI5l3r3e+2O3PkI2VmHuxP856ABbM+n4PFt8H0KrpPFxFV1iBzzgEVd/bzvZTqWhZueBm+v5Vjb+prvL7tguk69jh1qT0l9aYeyVFExh4hy7f1+fduxlVxJ46x/0XSSS+ddSpY6CPdtx97ibncJ1CrpXpAKZducSNdNC3rI7FB/afyYcWsPRkOkbN+tC10gdCmuc9ZffkH3jSewrtSr7fuVxBaasqFI+PxH/cFmLVAAns/XU/8padaZZR5x71Cx5dv8Dl2OfvXbpJJ/FRHC8AeMHDG7d4kv7m2ZTHf3InPnfMcyBkXuYbYVRq1MjRL1zoX1f1AVDfZuWPy7lewIGhfl6U0fioM9lBzZNtk5iV+h3BrUpl+CHqNxtLQKtiXJ7fgUZd57Fxdj+m/DWQDfM7UfrtFVJvs31aL1p69GXqyi2sHu5Oy5nnSH9+hb1Lx9LctAjGXqv5K+4g0zysMLOohIPPblLU8Ryc6k7l8hWxbDaVmPQMihByv8yeNKruL5DcC8kl/RYLpUf/ejZdurn4G6mUVjHJZcYZKTlLTlNzH9XDX6WBHiOk3Qmv/v/5ijaS3vuNMJIkSUlnpHltzSRtmUzSMu0irbn93lWgl2ekOR6VJOveG6SbaZIkpV+V5jYtLpXwjpCeS5IkpeyXhlroSrUmb5bCho2Qlpw+Kvk7aEuGniuk04uGSEOXnZP2jKgi6ZgOlKLy64edz2V6/yQ39mRwF3NS969g+aW3f3ZV3N8ynHbD/6CG3ybWD61Jzg7ynUPUD9jkG07R0ZNwNvzvRVMfXOICLgzrWwvDu6vo4dKNZdf+OSlMItrXmwn3OxMW0g4zLUBRBrcxS9jyYyv0gPQre4i+a0aFp8dQdQ+gu/ktLtzQwrrsHTal9iCwS0muX7yLdlVrqokus3nSZ/QFLUKzH1cz4y9vAlu34/EQT6wNn3Fxz2/svmdG98hjDGxQJm9Mu/QZEv83gbEHJZoV8mPEplePqa6eJ02dyO7Zo3np2Jbx/eqhH7eVYa0DUYQc4gdn6FStMx4+qxnQqRJWh/ywjV1GYNh9XEOH4PC6RVQPi0Yt/v5vFXd27OK8joIaSm96W+uSvD2Kg4llqJBWHM/eSvSfb2D30XRsx7hSIl8e6ud/n5cTA3sGrz+Ny4I+jDj8ALsu9ek0pReTS+bLfd47UpMLUko/lqPRsa8fk+L/Qi2lcvPEAdQFa5OsVhG7KIilaW7sqGcAgHLwGiLiGtM4aAnhB0ZT7tpmopOVzHDJqBsDoH5MVNQJVKaD6e9piYJUjkXtJ1amTxcvL6ppQfKRKKITrfi2SfmMz8eF3O+zDlxVj6TokBHSmLA/pPgPLfLgD+nQ5Zeff3Cch/z7HDBF2jvYXCpgN1k69/Zp4ZOlUutCxSXviETppK+1pK3XWlr6TidalfTowgUpViVJUvwqqb1RQclp+rVX/QfTYyR/e23JoHGIdDP91TYOj6wqFbD0kQ6k5MjbFLJB5q8Dxh8jpGM93IZMZ2rfWpQyMsO+eQ9GTg1j/da9RO/bzrp5wQREJFHB4mu92qyDjVsjSl4/yP57by4qqJ89JcnImeZ1dTEuWwadlAOsWHCGJID0RxxdNJnQGAVF5fAieicHk+1p/Y0ZCkB9N4rdMfq4du1IeQWgusGe/TcoWs+BtMUhbH0k7jvJkzKb2OeXD0vRMdekSyf3SpGLf5TG9mkrOSsrSsbFiktlzKtLTu2HSj/tuJlvW0AzkmErqOqRtMfPTarm2F2aunKz9L8NIdLQNm2l8Vvvv+qKlrBPmlinqKSQaUuFjctLFao2loatvy692pklS3sGmUsF60yVLv/dcPposYdUuEgrKfzh3x3ZkrdKfUwUUkELD2nqnr9E97Y8KluGpBDeSH5wjmOnb/O8YDlsatXE+O2DAtUTLh/5g5vppalhb41Jpm5gTufB2WM8KmlHzdL5/9w7vxIBFAQNEo3XgqBBIoCCoEEigIKgQSKAgqBBIoCCoEEigIKgQSKAgqBBIoCCoEEigIKgQf8H+mjP7e71CIEAAAAASUVORK5CYII=)
maths-General
Maths-
From the adjacent diagram, find the area of the shaded region.
![](data:image/png;base64,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)
From the adjacent diagram, find the area of the shaded region.
![](data:image/png;base64,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)
Maths-General
Maths-
Find the area of the shaded region from the adjacent figure
![](data:image/png;base64,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)
Find the area of the shaded region from the adjacent figure
![](data:image/png;base64,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)
Maths-General
Maths-
The area of shaded region from the adjacent figure is
![](data:image/png;base64,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)
The area of shaded region from the adjacent figure is
![](data:image/png;base64,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)
Maths-General
Maths-
The area of shaded region from the adjacent figure is
![](data:image/png;base64,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)
The area of shaded region from the adjacent figure is
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)
Maths-General