If the focus of a parabola is $(0,-3)$ and its directrix is $y=3$,then its equation is

The locus of the foot of the perpendicular drawn from the focus to any tangent of the parabola $y^2 = 4ax$ is:

Two parabolas $y^2 = 4a(x - l_1)$ and $x^2 = 4a(y - l_2)$ always touch one another,where $l_1$ and $l_2$ are variable. The locus of their point of contact has the equation:

Let $l$ be the directrix of the parabola $9y^2+12y+9x-14=0$ and $l_1$ be the line passing through the vertex of this parabola and the origin. If $(h, k)$ is the point of intersection of $l$ and $l_1$,then $h+k=$

The vertex of the parabola $y^2 + 2y + x = 0$ lies in which quadrant?

The points on the parabola $y^2 = 12x$ whose focal distance is $4$ are