The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular from the center of the hyperbola `x y=1` on a variable tangent is (a)`(x^2+y^2)^2=4x y` (b) `(x^2-y^2)=1/9` `(x^2-y^2)=7/(144)` (d) `(x^2-y^2)=1/(16)`

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