Statement 1: The line `a x+b y+c=0` is a normal to the parabola `y^2=4a xdot` Then the equation of the tangent at the foot of this normal is `y=(b/a)x+((a^2)/b)dot` Statement 2: The equation of normal at any point `P(a t^2,2a t)` to the parabola `y^2` =`4a x` is `y=-t x+2a t+a t^3`