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

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

A

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

B

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

C

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

D

None of these

Text Solution

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The correct Answer is:
A
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