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Maths-

General

Easy

Question

Let $P open parentheses ct subscript 1 comma straight c over straight t subscript 1 close parentheses$ and $Q open parentheses ct subscript 2 comma straight c over straight t subscript 2 close parentheses$ be the points of a rectangular hyperbola $x y equals c squared$ which subtends at another point R ' of the given hyperbola, if ' s ' be the mid polint of PQ and ' $straight O to the power of straight prime$ centre of the hyperbola then area of the $straight triangle ROS$ is equal to

$\frac{c^{2} (1 + {(t_{1} t_{2})}^{2}) |t_{1} + t_{2}|}{4 |t_{1} t_{2}| \sqrt{|t_{1} t_{2}|}}$
$\frac{c^{2} |t_{1} + t_{2}|}{4 |t_{1} t_{2}| \sqrt{|t_{1} t_{2}|}}$
$\frac{c^{2} |1 + t_{1} t_{2}| |t_{1} + t_{2}|}{2 |t_{1} t_{2}| \sqrt{|t_{1} t_{2}|}}$
none of these

The correct answer is: $fraction numerator straight c squared open parentheses 1 plus open parentheses straight t subscript 1 straight t subscript 2 close parentheses squared close parentheses open vertical bar straight t subscript 1 plus straight t subscript 2 close vertical bar over denominator 4 open vertical bar straight t subscript 1 straight t subscript 2 close vertical bar square root of open vertical bar straight t subscript 1 straight t subscript 2 close vertical bar end root end fraction$

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Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that $a less or equal than b less or equal than c equals 15$ is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.

Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that $a less or equal than b less or equal than c equals 15$ is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

Number of positive integers that are divisors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

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If the normal to the rectangular hyperbola $xy equals straight c squared$ at the point $straight capital psi to the power of prime$ ' meets the curve again at $t subscript 1$ ' then $straight t cubed straight t subscript 1$ has the value equal to

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What is the product of the following reaction?

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What is the final product(B)of this sequence?

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