The locus of the point (Cot theta+Cos th...

The locus of the point `(Cot theta+Cos theta, Cot theta-Cos theta)` where `o le theta lt 2pi` is

A

`x^2-y^2=4xy`

B

`x^2+y^2=4xy`

C

`(x^2+y^2)^2=16xy`

D

`(x^2-y^2)^2=16xy`

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The correct Answer is:

D

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