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Let P(theta1) and Q(theta2) are the extr...

Let `P(theta_1) and Q(theta_2)` are the extremities of any focal chord of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` whose eccentricity is e. Let `theta` be the angle between its asymptotes. Tangents are drawn to the hyperbola at some arbitrary points R. These tangent meet the coordinate axes at the points A and B respectively. The rectangle OABC (O being the origin) is completedm, then
Q. If `cos^(2)((theta_1+theta_2)/(2))=lambdacos^(2)((theta_1-theta_2)/(2))`, then `lambda` is equal to

A

`(a^(2)+b^(2))/(a^(2))`

B

`(a^(2)+b^(2))/(b^(2))`

C

`(a^(2)+b^(2))/(ab)`

D

`(a^(2)+b^(2))/(2ab)`

Text Solution

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The correct Answer is:
A
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