The point of intersection of the normals to the parabola y^2=4x at the ends of its latus r…

Question

The point of intersection of the normals to the parabola $y^2=4x$ at the ends of its latus rectum is:

Accepted Answer

For $y^2=4ax$, the normals at the ends of the latus rectum meet on the axis at $(3a,0)$. Here $a=1$, so the point is $(3,0)$.

Solutions · 1