300 followers problem! Conics!
Geometry
Level
5
Three normals are drawn from \(P(14,7)\) to the parabola \(y^2-16x-8y=0,\) A, B and C are conormal points, then area of \(\triangle ABG\) where \(G\) is centroid of \(\triangle ABC\) is \(\alpha\). Calculate \(\dfrac{45}{2}×\alpha\).
Details and Assumptions
- Conormal points are those points normal from which are concurrent. (Intersects at \(P\) in this case)
by
Pranjal Jain