Embibe Experts Solutions for Chapter: Parabola, Exercise 1: BITSAT 2017

Normals drawn to $y^2=4ax$ at the points where it is intersected by the line $y=mx+c$ intersected at $P$. Coordinates of foot of the another normal drawn to the parabola from the point $P$ is

Radius of the largest circle which passes through the focus of the parabola $y^2=4x$ and contained in it, is

The shortest distance between the parabolas $y^2=4x$ and $y^2=2x-6$ is