For the parabola $y^{2} = 4x$,the point $P$ whose focal distance is $17$ 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:

$A$ triangle $ABC$ with area $5a^{2}$ is inscribed in the parabola $y^{2} = 4ax$,where the vertex $A$ is at the vertex of the parabola and $BC$ is a focal chord. Find the length of the focal chord.

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

What do the equations $x = \frac{t}{4}$ and $y = \frac{t^2}{4}$ represent?

Statement $(A)$: If the normal at the ends of the latus rectum of the parabola $y^2 = 4x$ meet the curve again at $P$ and $P'$,then $PP' = 12$ units.
Reason $(R)$: If the normal at $T_1$ to the parabola $y^2 = 4ax$ meets the parabola again at $T_2$,then $T_2 = -T_1 - \frac{2}{T_1}$.