Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination is β. If α be the angle of projection of the first body with the horizontal the ratio of their times of flight is

Question : Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination is β. If α be the angle of projection of the first body with the horizontal the ratio of their times of flight is

(A) \dfrac{\cos \alpha }{\sin \left( \alpha +\beta \right) }

(B) \dfrac{\sin \left( \alpha +\beta \right) }{\cos \alpha }

(C) \dfrac{\cos \alpha }{\sin \left( \alpha -\beta \right) }

(D) \dfrac{\sin \left( \alpha -\beta \right) }{\cos \alpha }

Answer : option (D)

Solution :

Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination is β. If α be the angle of projection of the first body with the horizontal the ratio of their times of flight is
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