For the parabola $y^2 + 8x - 12y + 20 = 0$,which of the following is $NOT$ true?

The parabola with focus at $(4, -3)$ and vertex at $(4, -1)$ is

The equations $x = \frac{t}{4}$ and $y = \frac{t^2}{4}$ represent:

Let a line $y=mx$ $(m>0)$ intersect the parabola $y^{2}=x$ at a point $P$,other than the origin. Let the tangent to it at $P$ meet the $x$-axis at the point $Q$. If $\text{area}(\Delta OPQ)=4$ sq. units,then $m$ is equal to

What is the slope of the normal to the parabola $x^2 + 4y = 0$ at the point $(2, -1)$?

The point on the axis of the parabola $3y^2+4y-6x+8=0$ from which $3$ real normals can be drawn is given by: