The distance of the point $(6, 4 \sqrt{3})$ from the focus of the parabola $y^2 = 8x$ is:

The equation of the latus rectum of a parabola is $x + y = 8$ and the equation of the tangent at the vertex is $x + y = 12$. The length of the latus rectum is:

If two normals to a parabola $y^2 = 4ax$ intersect at right angles,then the chord joining their feet passes through a fixed point whose coordinates are:

If $a > 0$ and $b^2 - 4ac = 0$,then the curve $y = ax^2 + bx + c$

The angle between the tangents drawn from the point $(1,4)$ to the parabola $y^2=4x$ is

The length of the latus rectum of the parabola $9x^2 - 6x + 36y + 19 = 0$ is: