If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x $-$ 1, then the co-ordinates of P are :

Question

If P is a point on the parabola y = x² + 4 which is closest to the straight line y = 4x $-$ 1, then the co-ordinates of P are :

($-$2, 8)