If a point P ( x , y ) moves such that the sum of the squares of its coordinates is equal to their product, then the locus of P excluding origin is

Question

If a point P ( x , y ) moves such that the sum of the squares of its coordinates is equal to their product, then the locus of P excluding origin is, 1 x 2 + 1 y 2 = 1, 1 x + 1 y = 1, x y + y x = 1, x 2 + y 2 - x y = 1

MARKS App · Accepted Answer

Let P x , y be any point Given, x 2 + y 2 = x y ⇒ x 2 x y + y 2 x y = 1 ⇒ x y + y x = 1 ⇒ x y + y x = 1 is the required locus.

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