Statement-I : A projectile is thrown with an initial velocity of `(ahat(i)+bhat(j)) m//s`. If range of projectile is maximum then `a=b`.
Statement-II : In projectile motion, angle of projection is equal to `45^(@)` for maximum range condition.

Options

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true.

Answer

A

Explanation

For max. range `((u^(2) sin 2theta)/g)`, the projection angle `(theta)` should be `45^(@)`
So initial velocity `ai+bjrArr tan 45^(@)=b/arArr a=b`