Question

ans this wid explanation plz....

Answer 1

We have Vx=(ky)i and Vy=(kx)j

Now substituting Vx and Vy by dx/dt and dy/dt respectively we get:

dx/dt=ky…..(1) and dy/dt=kx…(2)

Integrating these equations w.r.t time we get

x=kyt…(3) and y=kxt…..(4)

Now dividing equation (3) and (4) we get :

x/y=y/x

Or x^2-y^2=0 which on further simplification gives (Y=+X or Y=-X) as the equation of path of particle

Hope it helps…
So option (D)