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

Answer

B

Explanation

(b): Let `theta_(1)=(45^(@)-theta), theta_(2)=(45^(@)+theta)`
Ranges are `R_(1) and R_(2)`
Sun of both angles is `90^(@)`
Both projections will have same range ,
`(R_(1))/(R_(2))=(1)/(1)=1:1`