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Two projectiles are fired with same initial speed from same point on ground at angles of \(\left(45^\circ -\alpha \right…

Q1

Two projectiles are fired with same initial speed from same point on ground at angles of \(\left(45^\circ -\alpha \right)\) and \(\left(45^\circ +\alpha \right)\), respectively, with the horizontal direction. The ratio of their maximum heights attained is :

[JEE Main 2025, 29 Jan (Shift 1)]

a

\(\frac{1-\tan \alpha }{1+\tan \alpha }\)

b

\(\frac{1-\sin 2\alpha }{1+\sin 2\alpha }\)

c

\(\frac{1+\sin \alpha }{1-\sin \alpha }\)

d

\(\frac{1+\sin 2\alpha }{1-\sin 2\alpha }\)

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