Let P be a point on the ellipse \frac{x^2}{9} + \frac{y^2}{4} = 1 and the line through P parallel to the y-axis meets the circle x^2 + y^2 = 9 at Q, where P, Q are on the same side of the x-axis. If R is a point on PQ such that \frac{PR}{RQ} = 1/{2} , then the locus of R is

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Correct Answer is : x29+9y249=1

WBJEE 2018 Math Solved Paper