For angles of projection of projectiles at (`45° -theta`) and (`45° + theta`) the horizontal ranges described by the projectile are in the ratio

Options

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

Answer

B

Explanation

Here `R_(1)=(u^(2)sin2(45^@-theta))/g` and `R_(2)=(u^(2)sin2(45^@+theta))/g`
or `R_(1)=(u^(2)cos2theta)/g,R_(@)=(u^(2)cos2theta)/g`
`:.R_(1)/R_(2)=1` or `R_(1):R_(2)::1:1`.