JEE Math Practice Question
Let $$O$$ be the vertex and $$Q$$ be any point on the parabola, $${{x^2} = 8y}$$. If the point $$P$$ divides the line segment $$OQ$$ internally in the ratio $$1:3$$, then locus of $$P$$ is :
- A.$${y^2} = 2x$$
- B.$${{x^2} = 2y}$$
- C.$${{x^2} = y}$$
- D.$${y^2} = x$$
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