If $x = my + c$ is a normal to the parabola ${x^2} = 4ay$,then the value of $c$ is

The locus of the poles of focal chords of the parabola $y^2 = 4ax$ is

The centroid of the triangle formed by joining the feet of the normals drawn from any point to the parabola $y^2 = 4ax$ lies on

The equation of the parabola whose focus is $(5, 3)$ and directrix is $3x - 4y + 1 = 0$ 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 $\sqrt{2}$)

The locus of the point of intersection of the perpendicular tangents to the parabola $x^2 = 4ay$ is