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Q.

The path of projectile is represented by  y=PxQx2

 COLUMN-I COLUMN-II
IRangePP/Q
IIMaximum heightQP
IIITime of flightRP2/4Q
IVTangent of angle of projection isS2QgP
  TQ

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a

I-R, II-P, III-Q, IV-S

b

I-P, II-Q, III-R, IV-S

c

I-P, II- R, III-S, IV-Q

d

I-Q, II-P, III- R, IV-S

answer is C.

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Detailed Solution

I P, II  R, III S, IV 
 y=PxQx2
Equation of trajectory of projectile motion is given by  y=xtanθgx22u2cos2θ
On comparing, tanθ=p . So IV    Q
  g2u2cos2θ=Q;ucosθ=g2Q
Range,  R=2u2gsinθcosθ
 R=2gg2QP=PQ
 IP   maximum height ,  H=u22gsin2θ
 H=12gg2Qsin2Qcos2θ H=12QXP22Q=P24Q2
IIR  Time of light 
 T=2usinθg=2gg2Qp
T=2gQP

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The path of projectile is represented by  y=Px−Qx2 COLUMN-I COLUMN-IIIRangePP/QIIMaximum heightQPIIITime of flightRP2/4QIVTangent of angle of projection isS2QgP  TQ