`C_1` is a curve `y^2=4x,C_2` is curve obtained by rotating `C_1,120^@` in anti -clockwise direction `C_3` is reflection of `C_2` with respect to y=x and `S_1,S_2,S_3` are foci of `C_1,C_2` and `C_3`, respectively, where O is origin.
If `(t^2,2t)` are parametric form of curve `C_1`, then the parametric form of curve `C_2` is

Options

A. `=(1/2(t^2+2sqrt3t),1/2(sqrt3t^2+2t))`
B. `=(1/2(-t^2+2sqrt3t),1/2(sqrt3t^2+2t))`
C. `=(1/2(-t^2+2sqrt3t),1/2(-sqrt3t^2+2t))`
D. `=(1/2(-t^2+2sqrt3t),1/2(-sqrt3t^2-2t))`

Answer

D