Question

A variable circle having radius ‘a’ passes through origin meets the coordinate axes in points A and B. locus of centroid of triangle OAB, ‘O’ being the origin is

(a) 9(x² + y²) = 4a²

(b) 9(x² + y²) = a²

(c) 9(x² + y²) = 2a²

(d) 9(x² + y²) = 8a²

Answer 1

(a) 9(x² + y²) = 4a²