Show that the locus of the foot of the p...

Show that the locus of the foot of the perpendicular drawn from centre on any tangent to the ellipse `b^2x^2+a^2y^2=a^2b^2` is the curve `(x^2+y^2)^2=a^2x^2+b^2y^2`

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The correct Answer is:

`a^2x^2+b^2y^2`

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