When a moving point P moves on the circle x 2 + y 2 = 1, the trajectory equation of the midpoint m connecting it with the fixed point a (3,0) is obtained

When a moving point P moves on the circle x 2 + y 2 = 1, the trajectory equation of the midpoint m connecting it with the fixed point a (3,0) is obtained

Take any point B (m, n) on the circle x2 + y2 = 1, and let the midpoint m (x, y) of line AB have x = 3 + M2y = 0 + N2, that is, M = 2x-3n = 2Y. According to M2 + N2 = 1, we can get (x-32) 2 + y2 = 14, that is, the trajectory equation of midpoint m is (x-32) 2 + y2 = 14