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Let P(asectheta,btantheta) and Q(asecphi...

Let `P(asectheta,btantheta)` and `Q(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 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)`

Text Solution

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The correct Answer is:
d
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