Physics - Kinematics Question with Solution | TestHub

A stone projected with a velocity a at an angle $\theta$ with the horizontal reaches maximum height ${\mathrm{H}}_1$. When it is projected with velocity u at an angle $\left(\frac{\pi }{2}-\theta \right)$ with the horizontal, it reaches maximum height ${\mathrm{H}}_2$. The relation between the horizontal range $\mathrm{R}$ of the projectile, heights ${\mathrm{H}}_1$ and ${\mathrm{H}}_2$ is