The parametric equations $x - 2 = t^2$ and $y = 2t$ represent which parabola?

The equation of the parabola with focus $(0,0)$ and directrix $x+y=4$ is

The line $y = 2x + c$ is a tangent to the parabola $y^2 = 16x$,if $c$ equals

Which of the following points lie on the parabola $x^2 = 4ay$?

From the focus of the parabola $y^2 = 12x$,a ray of light is directed in a direction making an angle $\tan^{-1} \frac{3}{4}$ with the $x$-axis. Then the equation of the line along which the reflected ray leaves the parabola is

Find the locus of the midpoints of all focal chords of the parabola $y^2 = 4ax$.