A stone projected with a velocity $u$ at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity $u$ at an angle $(\frac{\pi }{2}-\theta )$ with the horizontal, it reaches the maximum height $H_2$. The relation between the horizontal range $R$ of the projectile, $H_1$ and $H_2$ is

Q.

A stone projected with a velocity u at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity u at an angle $(\frac{\pi }{2}-\theta )$ with the horizontal, it reaches maximum height $H_2$.
The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is

Q. The A stone projected with a velocity $u$ at an angle $\Theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity $u$ at an angle $(\frac{\pi }{2}-\Theta )$ with the horizontal, it reaches maximum height $H_2$. The relation between the horizontal range $R$ of the projectile $H_1$ and $H_2$ is,

Q. A stone projected with a velocity with a velocity $u$ at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with the velocity $u$ at an angle $(\frac{\pi }{2}-\theta )$ with the horizontal, it reaches maximum height $H_2$. The relation between the horizontal range $R$ of the projectile, heights $H_1$ and $H_2$ is

Q. A stone projected with a speed u at an angle θ with the horizontal reaches maximum height $H_1$. When it is projected with speed u at an angle $90-\theta$ with the horizontal, it reaches maximum height $H_2$. The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is

Q.

A projectile thrown with an initial speed $v_0$ has the same range $\text{R}$ when the maximum height attained by it is either $h_1$ or $h_2.$ Then $R,h_1$ and $h_2$ are related as