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If P(theta) is a point on the hyperbola...

If `P(theta) ` is a point on the hyperbola ` (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1`, whose foci are S and S', then `SP.S'P = `

A

`a^(2) sec^(2) theta + b^(2) tan^(2) theta `

B

`a^(2) sec^(2) theta - b^(2) tan^(2) theta `

C

`a^(2) tan^(2) theta - b^(2) sec^(2) theta `

D

`a^(2) tan^(2) theta + b^(2) sec^(2) theta `

Text Solution

Verified by Experts

The correct Answer is:
D
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