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On an inclined plane two particles \( \mathrm{A} \) and \( \mathrm{B} \) are projected with same speed at the same angle with the
P horizontal, particle A down and particle B up the

W plane. If the ratio of time of flight of \( \mathrm{A} \) and \( \mathrm{B} \) is \( \cot \theta \), where \( \theta \) is the angle at which \( \mathrm{B} \) is projected measured from inclined plane, find the angle at which particles are projected :
(1) \( 90^{\circ} \)
(2) \( 60^{\circ} \)
(3) \( 30^{\circ} \)
(4) \( 45^{\circ} \)
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