Find the equations of the tangent and normal to the parabola $y^2 = 4ax$ at the point $(at^2, 2at)$.

Question

$\begin{array}{1 1} (A)\;x-ty+at^2=0;xt+y-at(2+t)=0 \\ (B)\;x-ty-at^2=0;xt+y-at(2+t)=0 \\(C)\;x-ty+at^2=0;xt-y+at(2+t)=0 \\(D)\;x-ty+at^2=0;xt+y+at(2+t)=0 \end{array} $