Example 1

  1. \text{Find the equation of the tangent and normal to the parabola with parametric equation} \\ \\ x=2t^2 \text{, } y=4t \text{ at the point where } t=-2 \text{.}

 

 

Example 2

  1. \text{Find the general equation of the normal at the point } P(at_2, 2at) \\ \\ \text{ on the curve } y^2 = 4ax