Here is my problem: If the normals at the ends of a variable chord PQ of the parabola $y^2-4y-2x=0$ are perpendicular then the tangents at P and Q will intersect at?? The correct answer is $2x+5=0$.
I could not figure out the way from where to start. Basically i am strucked with the equation of parabola since it is not the standard parabola. The vertex of the given parabola is $(-2,2)$. Thanks for any kind of help.