Let ellipse C and hyperbola d have the same focus F1 (- 4,0), F2 (4,0), and the length of the major axis of ellipse is twice the length of the real axis of hyperbola. Try to find the trajectory equation of the intersection of ellipse C and hyperbola D

Let ellipse C and hyperbola d have the same focus F1 (- 4,0), F2 (4,0), and the length of the major axis of ellipse is twice the length of the real axis of hyperbola. Try to find the trajectory equation of the intersection of ellipse C and hyperbola D

∵ ellipse C and hyperbola d have the same focal points F1 (- 4,0), F2 (4,0). The length of the major axis of ellipse is twice the length of the real axis of hyperbola. If the length of the real semi axis of hyperbola a a, a > 0, then the length of the semi major axis of ellipse 2a, and the intersection point of ellipse C and hyperbola D is p, then it is defined by the definition of hyperbola and ellipse; | Pf1 | - | PF2 | = ± 2A