Embibe Experts Solutions for Chapter: Parabola, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

If $a{x}^2+2hxy+b{y}^2-82x+98y+144=0$ is the equation of a parabola with focus $(2, -3)$ and directrix $3x-2y+5=0,$ then $a{x}^2+2hxy+b{y}^2=0$ represents

If a parabola having horizontal axis and passes through the points $(-2, 1), (1, 2)$ and $(-1, 3)$ then the $y$-coordinate of the focus of that parabola is

A point on the parabola whose focus and vertex are respectively at $\left(\frac{5}{4}, -2\right)$ and $(1, -2)$ is

The parametric equations of the parabola $y^2-4x-8y-12=0$ are

Match the items given in List-A with those of the items of List-B

The correct match is

For the parabola $y=2+4t, x=-2+2t^2$ the ends of the latus rectum are at $t=\alpha$ and $t=\beta$, then $\alpha \beta =$

The parametric equations of the parabola $x^2-8x+12y+15=0$ are

The equation of the directrix of the parabola $(2x-3y-5{)}^2=20(3x+2y+1)$ is