Question

condition of concurrency of normals of parabola

Answer 1

If 3 normals can be drawn from a point (x,y) to a parabola, then -

1. The points where these normals meet are called the feet of the normals or conormal points.
2. The sum of the slopes of these normals is zero.
3. The sum of the ordinates of the feet of these normals is also zero.