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Q.

A projectile is required to hit a target whose co-ordinates relative to horizontal and vertical axes through the point of projection are (α,β). If the gun velocity is 2 . Then the condition when it is impossible to hit the target. 

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a

3α>4β

b

4β>3α

c

3β>4α

d

4α>3β

answer is B.

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Detailed Solution

β=αtanθ12gα2u2cos2θ β=αtanθ12gα221+tan2θ tan2θ4tanθ+1+4βα=0 If particle will not hit the target. b24ac<0 1641+4βα<0 4β>3α

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