The equation of the parabola with the focus $(3,0)$ and the directrix $x+3=0$ is:

The vertex and the focus of the parabola $2y^2 + 5x - 6y + 1 = 0$ are respectively

What is the equation of the directrix of the parabola $x^2 = -ay$?

The equation of the tangent to the parabola $y^2 = 4ax$ at the point $(a/t^2, 2a/t)$ is:

Let $R$ be the focus of the parabola $y^2=20x$ and the line $y=mx+c$ intersect the parabola at two points $P$ and $Q$. Let the point $G(10, 10)$ be the centroid of the triangle $PQR$. If $c-m=6$,then $(PQ)^2$ is

If $P$ is a point which divides the line segment joining the focus of the parabola $y^2=12x$ and a point on the parabola in the ratio $1:2$,then the locus of $P$ is: