The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular from the center of the hyperbola xy= 1 on a variable tangent is

A

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

B

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

C

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

D

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

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The correct Answer is:

D

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