JEE Advanced 2011 Mathematics question

Let (x, y) be any point on the parabola . Let P be the point that divides the line segment from (0, 0) to (x, y) in the ratio 1 : 3. Then the locus of P is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

By the section formula, P divides the segment from (0, 0) to (x, y) internally in the ratio 1 : 3, so \dfrac$ x4,

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Question ID VK-025991