R S Aggarwal Solutions for Exercise 1: EXERCISE 3

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola: $x^2=-18y$

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola: $3x^2=-16y$

Find the equation of the parabola with vertex at the origin and focus at $F(-2,0)$.

Find the equation of the parabola with focus $F(4,0)$ and directrix $x=-4$.

Find the equation of the parabola with focus $F\left(0,-3\right)$ and directrix $y=3$.

Find the equation of the parabola with vertex at the origin and focus at $F(0,5)$.

Find the equation of the parabola with vertex at the origin, passing through the point $P(5,2)$ and symmetric with respect to the $y$-axis.

Find the equation of the parabola which is symmetric about the $y$-axis and passes through the point $P(2,-3)$.