The line $y = mx + 1$ is a tangent to the parabola $y^2 = 4x$,if

If $PQ$ is a focal chord of the parabola $y^2=4x$ with focus $S$ and $P=(4,4)$,then $SQ=$

The directrix of the parabola $2 y^2+25 x=0$ is $........$

Find the equation of the parabola which passes through $(6,-2)$,has its vertex at the origin and its axis along the $y$-axis.

Find the parameter $t$ for the point $(4, -6)$ on the parabola $y^2 = 9x$.

Let $Z$ be the point of intersection of the axis and the directrix of the parabola $4x^2 - 12x + 4y + 5 = 0$. If $S$ is its focus,then the point which divides $SZ$ in the ratio $2:1$ is