Question

If the line $y=x+k$ is a normal to the parabola $y^2=4x$ then find the value of $k$.

Answer 1

equation of normal of parabola =

$y=mx-2am-a{m}^3$ $m=1,a=1$

$y=x-2-1,y=x-3$

compare the equations, $k=-3$