The parabola $y^2 = x$ is symmetric about

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

What is the equation of the directrix of the parabola $y^2 + 4y + 4x + 2 = 0$?

The line $y = mx + 1$ is a tangent to the parabola $y^2 = 4x$. Find the value of $m$.

The locus of the middle points of the chords of the parabola $y^2 = 4ax$ which pass through the origin is:

The point of contact of the tangent to the parabola $y^2=9x$ which passes through the point $(4, 10)$ and makes an angle $\theta$ with the positive side of the axis of the parabola where $\tan \theta > 2$, is