Mathematics - Parabola Question with Solution | TestHub

The tangents from the point $P(2,4)$ to a parabola touch it at $A(4,6)$ and $B(4,2)$. The normals to the parabola at $A$ and $B$ intersect at point $D$. Point $P$, the midpoint of $AB$, and point $D$ are collinear. Let $C\equiv x^2+y^2=r^2$. On the basis of the above information, answer the following: