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Let P(a sectheta, btantheta) and Q(asec...

Let `P(a sectheta, btantheta) and Q(aseccphi , btanphi)` (where `theta+phi=pi/2` be two points on the hyperbola `x^2/a^2-y^2/b^2=1` If `(h, k)` is the point of intersection of the normals at `P and Q` then `k` is equal to (A) `(a^2+b^2)/a` (B) `-((a^2+b^2)/a)` (C) `(a^2+b^2)/b` (D) `-((a^2+b^2)/b)`

A

`(a^(2) + b^(2))/(a)`

B

`-((a^(2)+b^(2))/(a))`

C

`(a^(2) + b^(2))/(b)`

D

`-((a^(2) + b^(2))/(b))`

Text Solution

Verified by Experts

The correct Answer is:
D
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