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If P(a sec alpha,b tan alpha)" and "Q(a ...

If `P(a sec alpha,b tan alpha)" and "Q(a sec beta, b tan beta)` are two points on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1`. Such that `alpha-beta=2theta`, then PQ touches the hyperbola

A

`(x^2)/(a^2 sec^2 theta)- (y^2)/(b^2)=1`

B

`(y^2)/(a^2)-(x^2)/(b^2 sec^2 theta)=1`

C

`(x^2)/(a^2)-(y^2)/(b^2)=cos^2 theta`

D

None of these

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The correct Answer is:
A
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