If O is the origin and Q is a variable point on `y^2=xdot` Find the locus of the mid point of`\ O Qdot`

Explanation

Let `P(h, k)` is the mid point of `(OQ)`

`:. Q = (2h, 2k)`

`(2k)^2 = 2h =>:. 2k^2 = h`

`:.` locus of P is `2y^2 = x`