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Geometry Level 3

A randomly moving child(forward or backward) throw balls in projectile motion in such a way that the trajectory of the thrown ball passes through two fixed points A & B (A&B are in air & in the plane of the motion of the moving boy). What curve does the locus of the focus of the trajectory define? (Consider ideal situation that the trajectory is parabolic)

ellipse Hyperbola parabola semicircle

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