If curves, frac{x^{2}}{a}+frac{y^{2}}{b}=1 and frac{x^{2}}{c}+frac{y^{2}}{d}=1 intersect each other

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10-2. Parabola, Ellipse, Hyperbola

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If the curves, $\frac{x^{2}}{a}+\frac{y^{2}}{b}=1$ and $\frac{x^{2}}{c}+\frac{y^{2}}{d}=1$ intersect each other at an angle of $90^{\circ},$ then which of the following relations is TRUE ?

A

$a+b=c+d$

B

$a-b=c-d$

C

$a-c=b+d$

D

$a b=\frac{c+d}{a+b}$

(JEE MAIN-2021)

Solution

For orthogonal curves $a-c=b-d$ $\Rightarrow a-b=c-d$

Standard 11

Mathematics

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