If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of the foot of perpendicular from O on AB is :

Question

(x² + y²)² = 4R²x²y²

(x² + y²) (x + y) = R²xy

(x² + y²)² = 4Rx²y²

(x² + y²)³ = 4R²x²y²

Solution

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