Amit M Agarwal Solutions for Chapter: Parabola, Exercise 1: Work Book Exercise 14.1

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

The axis of parabola $9y^2-16x-12y-57=0$ is

The equation of the directrix of the parabola $y^2+4y+4x+2=0$ is

The equation of the directrix of the parabola $x=-2at, y=-a{t}^2, t\in R,$ is

If the parabola $y^2=4ax$ passes through $\left(3,2\right).$ Then the length of its latus rectum is

The focal distance of a point on the parabola $y^2=4x$ and above its axis, is $10$ units. Its coordinates are

The endpoints of the latus rectum of a parabola are $(7,5)$ and $(7,3),$ then possible coordinates of its vertex are