The given equation of curve is y2 = 2x and the given point is Q(1, 4).
Let P(x, y) be the point, which is at a minimum distance from point Q(1,4)
Now, distance between points P and Q is given by
On differentiating both sides w.r.t. y, we get
Hence, the point which is at a minimum distance from point (1, 4) is P(2, 2).