Find the equation of normal to the curves `x=t^2, y=2t+1` at point

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equation of the normal to the curve y = x^3 at the point (2,1).

Find the equations of the normal to the curve x y=c^2 at (c t ,\ c//t) on it.

The equation of normal to the curve x=(1)/(t), y=t-(1)/(t)" at "t=2 is

Find the equation of the tangent to the curve x = y^2-1 at the point where the slope of the normal to the curve is 2.

Find the equations of the tangent and normal to the curve x = a sin 3t, y = cos 2 t " at " t = (pi)/(4)