Let be a chord of the circle subtending a right angle at the centre

MATHEMATICS · Single correct · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let

AB

be a chord of the circle

x^2 + y^2 = r^2

subtending a right angle at the centre. Then, the locus of the centroid of the

triangle PAB

P

moves on the circle is (1) a parabola (2) a circle (3) an ellipse (4) a pair of straight lines