jee-main 2025 Q31

jee-main · India · session1_29jan_shift1 Projectiles Range and Complementary Angle Relationships
Two projectiles are fired with same initial speed from same point on ground at angles of $(45^\circ - \alpha)$ and $(45^\circ + \alpha)$, respectively, with the horizontal direction. The ratio of their maximum heights attained is:
(1) $\frac{1 - \tan\alpha}{1 + \tan\alpha}$
(2) $\frac{1 - \sin 2\alpha}{1 + \sin 2\alpha}$
(3) $\frac{1 + \sin 2\alpha}{1 - \sin 2\alpha}$
(4) $\frac{1 + \sin\alpha}{1 - \sin\alpha}$
Two projectiles are fired with same initial speed from same point on ground at angles of $(45^\circ - \alpha)$ and $(45^\circ + \alpha)$, respectively, with the horizontal direction. The ratio of their maximum heights attained is:\\
(1) $\frac{1 - \tan\alpha}{1 + \tan\alpha}$\\
(2) $\frac{1 - \sin 2\alpha}{1 + \sin 2\alpha}$\\
(3) $\frac{1 + \sin 2\alpha}{1 - \sin 2\alpha}$\\
(4) $\frac{1 + \sin\alpha}{1 - \sin\alpha}$