Dr. SK Goyal Solutions for Chapter: Parabola, Exercise 1: INTRODUCTORY EXERCISE 5.1

The value of $p$ such that the vertex of $y=x^2+2px+13$ is 4 units above the $x$-axis is :

If the vertex and focus of a parabola are $\left(3,3\right)$ and $\left(-3,3\right)$ respectively, then its equation is :

The equation of the latus rectum of the parabola $x^2+4x+2y=0$ is :

The focus of the parabola $x^2-8x+2y+7=0$ is :

Equation of the parabola whose axis is parallel to $\mathrm{y}$-axis and which passes through the points $\left(1,0\right),\left(0,0\right)$ and $\left(-2,4\right)$ is :

Find the name of the conic represented by $\sqrt{\left(\frac{x}{a}\right)}+\sqrt{\left(\frac{y}{b}\right)}=1$.

Determine the name of the curve described parametrically by the equations $x=t^2+t+1,y=t^2-t+1.$

The equation $a{x}^2+4xy+y^2+ax+3y+2=0$ represents a parabola then find the value of $a$.