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The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular from the centre of the hyperbola `xy = c^2` on a variable tangent is (A) `(x^2-y^2)=4c^2xy` (B) `(x^2+y^2)^2=2c^2xy` (C) `(x^2+y^2)=4c^2xy` (D) `(x^2+y^2)^2=4c^2xy`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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