Let AB be a chord of the circle x^2+y^2=...

Let `AB` be a chord of the circle `x^2+y^2=r^2` subtending a right angle at the center. Then the locus of the centroid of the `Delta PAB` as `P` moves on the circle is (1) A parabola (2) A circle (3) An ellipse (4) A pair of straight lines

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