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Two bodies are projected from the same point in the directions making an angle `alpha_1 and beta_2` with horizontal and strike at the same point in the horizontal plane through a point of projection. If `t_1` and `t_2` are their time of flights. Then `(t_1^2 - t_2^2)/(t_1^2 + t_2^2) = `

A

`(tan (alpha_1 - alpha_2))/(tan (alpha_1 + alpha_2))`

B

`(sin (alpha_1 + alpha_2))/(sin (alpha_1 + alpha_2))`

C

`(sin (alpha_1 - alpha_2))/(sin (alpha_1 + alpha_2))`

D

`(sin^2 (alpha_1 - alpha_2))/(sin^2(alpha_1 + alpha_2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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