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Question

A particle is moving with a velocity ¯¯¯v=K(y^i+x^j), where K is a constant. The general equation for its path is:

A
xy=constant
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B
y2=x2+constant
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C
y=x2+constant
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D
y2=x+constant
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Solution

The correct option is B y2=x2+constant
dxdt=ky,dydt=kx
Now, dydx=dydtdxdt=xy
ydy=xdx
Integrating both side
y2=x2+c

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