jee-advanced 2001 Q12

jee-advanced · India · screening Circles Circle-Related Locus Problems
12. Let $A B$ 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 as P moves on the circle is:
(A) A parabola
(B) A circle
(C) An ellipse
(D) A pair of straight lines 
12. Let $A B$ 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 as P moves on the circle is:\\
(A) A parabola\\
(B) A circle\\
(C) An ellipse\\
(D) A pair of straight lines\\
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