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Let P(asectheta, btantheta) and A(asecp...

Let `P(asectheta, btantheta) and A(asecphi, 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 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))`

Text Solution

Verified by Experts

The correct Answer is:
D
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