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Let P(a sec theta , b tan theta ) and Q...

Let ` P(a sec theta , b tan theta ) and Q(a sec phi , b tan phi)` where ` theta + phi = (pi)/(2) ` be two point on the hyperbola ` (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =1 ` .If ( h, k) be the point of intersection of the normals at P and Q , then the value of k is -

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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