JEE-Mains 2015 (22/30)

Geometry Level 3

Let O O be the vertex and Q Q be an point on the parabola x 2 = 8 y x^2=8y . If the point P P divides the line segment O Q OQ internally in the ration 1 : 3 1:3 , then the locus of P P is :

y 2 = x y^2=x y 2 = 2 x y^2=2x x 2 = y x^2=y x 2 = 2 y x^2=2y

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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