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Q.

Two balls are projected at an angle θ and (900-θ) to the horizontal with the same speed. The ratio of their maximum vertical heights is

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a

1 : 1

b

tan θ : 1

c

1 : tan θ

d

tan2θ : 1

answer is D.

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Detailed Solution

H1 = u2 sin2θ2g---------------(i)H2 = u2sin2(900-θ)2g = u2cos2θ2g-----(ii)Dividing (i) by (ii), we get H1H2  = tan2θ1
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Two balls are projected at an angle θ and (900-θ) to the horizontal with the same speed. The ratio of their maximum vertical heights is