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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.Locus of point C is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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