A body is projected with velocity u at an angle θ with the horizontal. Another body having double mass is also projected with the same velocity but at an angle 90−θ. The ratio of their maximum heights is
tan2 θ
According to the question, H1=u2 sin2 θ2g
and H2=u2 sin2 (90−θ)2g=u2 cos2 θ2g
∴H1H2=sin2 θcos2 θ=tan2 θ
Hence, the correct choice is (c).