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Question: Answered & Verified by Expert
A particle is moving with a velocity v=Kyi^+xj^, where K is a constant.

The general equation for its path is:
PhysicsMathematics in PhysicsJEE MainJEE Main 2019 (09 Jan Shift 1)
Options:
  • A y2=x+constant
  • B xy=constant
  • C y=x2+constant
  • D y2=x2+constant
Solution:
2658 Upvotes Verified Answer
The correct answer is: y2=x2+constant
v=Kyi^+xj^

vx=y=dxdt

vy=x=dydt

dxdy=yx

xdx=ydy

x22=y22+C

or y2=x2+constant

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