Focus of the parabola ${(y - 2)^2} = 20(x + 3)$ is

If tangent lines are drawn from the point $(-1, 2)$ to the parabola $y^2 = 4x$, then the area of the triangle (in sq. units) formed by the chord of contact and the tangents drawn is: (in $\sqrt{2}$)

Let $A$ and $B$ be two distinct points on the parabola $y^2 = 4x$. If the axis of the parabola touches a circle of radius $r$ having $AB$ as its diameter,then the slope of the line joining $A$ and $B$ can be

The equation of the parabola whose focus is $(6,0)$ and directrix is $x=-6$ is

The locus of the middle points of all chords of the parabola $y^2 = 4ax$ passing through the vertex is

Find the parameter $t$ for the point $(4, -6)$ on the parabola $y^2 = 9x$.