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Let O be the vertex and Q be any point o...

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 the locus of P is

A

`x^(2)=y`

B

`y^(2)=x`

C

`y^(2)=2x`

D

`x^(2)=2y`

Text Solution

Verified by Experts

The correct Answer is:
D
4 Let P be (h,k).
`:." "h=t`
`andk=(t^(2))/(2)`
`:." "k=(h^(2))/(2)`
`rArr2y=x^(2)`,
which is required locus.
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