EXERCISE 11.2

Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for $y^2=12x$

Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for $x^2=6y$

Find the equation of the parabola that satisfies the given conditions: Focus $\left(6, 0\right)$; directrix  $x=-6$

Find the equation of the parabola that satisfies the given conditions: Focus $\left(0, -3\right);$ directrix $y=3$

Find the equation of the parabola that satisfies the given conditions: Vertex $\left(0, 0\right);$ focus $\left(3, 0\right)$

Find the equation of the parabola that satisfies the given conditions: Vertex $\left(0, 0\right)$ focus $\left(-2, 0\right)$

Find the equation of the parabola that satisfies the given conditions: Vertex $\left(0, 0\right)$ passing through $\left(2, 3\right)$ and axis is along $x$-axis.

Find the equation of the parabola that satisfies the given conditions: Vertex $\left(0, 0\right),$ passing through $\left(5, 2\right)$ and symmetric with respect to $y$-axis