Let the coordinates of Q be (a, b), which lies on the parabolay2 = x⇒ b2 = a ... (1)Let P(h, k) be the mid-point of OQ.Now,h = 20 + a​ and k = 20 + b​ ⇒ a = 2h and b = 2kPutting a = 2h and b = 2k in equation (1), we get:( 2k )2 = 2h ⇒ 2 k2 = hHence, the locus of the mid-point of OQ is 2 y2 = x