A particle is moving with velocity $$\vec{v} = K(y\hat{i} + x\hat{j})$$, where $$K$$ is a constant. The general equation for its path is

A

$$y = x^2 +$$ constant

B

$$y^2 = x +$$ constant

C

$$xy = $$ constant

D

$$y^2 = x^2 +$$ constant