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Let O be the vertex and Q be any poin...

Let O be the vertex and Q be any point on the parabola,`x^2=""8y` . It the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is : (1) `x^2=""y` (2) `y^2=""x` (3) `y^2=""2x` (4) `x^2=""2y`

A

`x^(2) = y`

B

`y^(2) = x `

C

`y^(2) = 2x `

D

x^(2) = 2y`.

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The correct Answer is:
D
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