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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 ^(3)=2y`

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The correct Answer is:
D
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