Embibe Experts Solutions for Chapter: Parabola, Exercise 1: JKCET 2018

A parabola $y^2=32x$ is drawn. From its focus, a line of slope $1$ is drawn. The equation of the line is

An equilateral triangle is inscribed in the parabola $y^2=4ax,$ where one vertex of the triangle is at the vertex of the parabola. The length of the side of the triangle is

What will be the area of the triangle formed by the lines joining the vertex of the parabola $y^2=28\mathrm{x}$ to the ends of its latus rectum?

In which of these cases, the parabola generated by the given pair of directrix and focus will be a degenerate case?