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Q.

(A) : For projection angle tan-1(4), the horizontal range and the maximum height of a projectile are equal. 
(R) : The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to gravity. 

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a

Both (A) and (R) are true and (R) is the correct explanation of (A) 

b

Both (A) and (R) are true and (R) is not the correct explanation of (A) 

c

Both (A).and (R) are false

d

(A) is true but (R) is false 

answer is B.

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Detailed Solution

We know R = 4H cotθ

if R = H then cotθ = (14) or tanθ = [4]

and R = u2sin2θg   ⇒R ∝ u2g

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