A particle is moving with a velocity v → = K y i ^ + x j ^ , where K is a constant. The general…

A particle is moving with a velocity v→=Kyi^+xj^, where K is a constant.

The general equation for its path is:
  1. y2=x+constant
  2. xy=constant
  3. y=x2+constant
  4. y2=x2+constant

Solution

v→=Kyi^+xj^

vx=y=dxdt

vy=x=dydt

dxdy=yx

∫x dx=∫y dy

x22=y22+C

or y2=x2+constant

Asked in: JEE Main 2019 (09 Jan Shift 1)

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