Embibe Experts Solutions for Chapter: Parabola, Exercise 1: AP EAPCET - 20 Aug 2021 Afternoon

The point of intersection of the latus rectum and axis of the parabola $y^2+4x+2y-8=0$ is

For the parabola $y^2+6y-2x+5=0,$ match the items in List-$\mathrm{I}$ with the suitable item in List-$\mathrm{II}$ given below:

The correct matching is

If one end of focal chord of the parabola $y^2=8x$ is $\left(\frac{1}{2},2\right)$, then the length of the focal chord is____units

Find the equation of the parabola which passes through $(6,-2)$, has its vertex at the origin and its axis along the $y-$axis.

The coordinates of the focus of the parabola described parametrically by $x=5t^2+2,y=$$10t+4$ (where $t$ is a parameter) are

The angle between the tangents drawn from the point $\left(1,4\right)$ to the parabola $y^2=4x$ is

The normal at a point on the parabola $y^2=4x$ passes through $(5,0)$. If two more normals to this parabola also pass through$(5,0),$  then the centroid of the triangle formed by the feet of these three normals is

The equation of the normal to the parabola $y^2=4x$ which is perpendicular to $x+3y+1=0$ is