Review question

# Can we show this parabola and this ellipse meet at right angles? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7042

## Question

The normal at a point $P$ on the parabola $y^2=4ax$ meets the ellipse $2x^2+y^2=c^2$ in the points $M$, $N$. Prove that $P$ is the mid-point of $MN$.

Hence, or otherwise, prove that the conics cut at right angles.