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

A

$$y^2 = x$$ + constant

B

$$xy$$ = constant

C

$$y = x^2$$ + constant

D

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