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Tangents to the ellipse x^(2)//a^(2)+y^(...

Tangents to the ellipse `x^(2)//a^(2)+y^(2)//b^(2)=1` make angles `theta_(1), theta_(2)` with the major axis. The equation of the locus of their point of intersection when `tan(theta_(1)+theta_(2))=k` is

A

`(k)/(2)xy`

B

`(2)/(k)xy`

C

`(xy)/(k)`

D

kxy

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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