A particle is moving with velocity v = K(yi + xj)

• Kinematics

A particle is moving with velocity v = K(yi + xj), where K is a constant. The general equation for its path is

1. xy = constant
2. y² = x + constant
3. y² = x² + constant
4. y = x² + constant

Answer

dy/dt = x (dx/dt) = y

dy/dx = x/y

xdx = ydy

x² = y² + C

The correct option is C.