For angles of projection of a projectile at angle `(45^(@) - theta) and (45^(@)+ theta)`, the horizontal ranges described by the projectile are in the ratio of :

Options

A. `2:1`
B. `1:2`
C. `1:1`
D. `2:3`

Answer

C

Explanation

For angle `(45^(@) - theta), R = (u^(2)sin (90^(@)- 2theta))/(g) = (u^(2) cos 2theta)/(g)`
For angle `(45^(@) +theta), R = (u^(2) sin(90^(@)+2theta))/(g) = (u^(2)cos 2 theta)/(g)`