The horizontal range R of two projectiles are same when their maximum heights are H1 and H2. The value of R is (assume equal speed of projection)

Hint : For same range, sum of angle of projection is 90o.H1=u2sin2⁡θ12g H2=u2sin2⁡θ22gsince R is same⇒θ1+θ2=90∘⇒H1=u2sin2⁡θ12g, H2=u2cos2⁡θ12gMultiplyingH1H2=u4sin2⁡θ1cos2⁡θ14gH1H2=u2sin⁡θ1cos⁡θ12gH1H2=u2sin⁡2θ14g⇒R=4H1H2