The ratio of the distance from the moving point P to the point F (10,0) in the plane to the distance from the straight line x = 4 is 2. The trajectory equation of the point P is obtained

The ratio of the distance from the moving point P to the point F (10,0) in the plane to the distance from the straight line x = 4 is 2. The trajectory equation of the point P is obtained

Let P (x, y)
According to the meaning of the title, (X-10) ^ 2 + y ^ 2 = 4 (x-4) ^ 2
Simplify (X-2) ^ 2 / 16 - y ^ 2 / 48 = 1
Hyperbola: symmetry center (2,0) a = 4, B = 4 √ 3