Embibe Experts Solutions for Chapter: Parabola, Exercise 1: SRMJEEE (UG) 2015

The two ends of a latus rectum of a parabola are $(5,8)$ and $(-7,8)$ . Then its focus is

Equation of the directrix of the parabola whose focus is $(0,0)$ and the tangent at the vertex is $x-y+1=0$ is

The line $y=4x+c$ touches the parabola $y^2=4x$, if

The slopes of the normals to the parabola $y^2=4ax$ intersecting at a point on the axis of the parabola at a distance $4a$ from its vertex are in

The equation of common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is