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Let P be an arbitrary point on the elli...

Let P be an arbitrary point on the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1, a gt b gt 0`. Suppose `F_(1)` and `F_(2)` are the foci are the ellipse. The locus of the centroid of the triangle `PF_(1)F_(2)` as P moves on the ellipse is- (A) a circle (B) a parabola (C) an ellipse (D) a hyperbola

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