A stone projected with a velocity u at an angle (theta )with the horizontal reaches maximum heights `H_(1)`. When it is projected with velocity u at an angle `(pi/2-theta)` with the horizontal, it reaches maximum height `H_(2)`. The relations between the horizontal range R of the projectile, `H_(1) and H_(2)`, is

Options

A. `R= 4sqrt(H_1 H_2)`
B. `R= 4(H_1 - H_2)`
C. `R=4(H_1 + H_2)`
D. `R= (H_1^2)/(H_2^2)`

Answer

A