If $y=mx+1$ is a tangent to the parabola $y^2=4x$,then $m=$

If $x-y-3=0$ is a normal drawn through the point $(5,2)$ to the parabola $y^2=4x$,then the slope of the other normal that can be drawn through the same point to the parabola $y^2=4x$ is

The distance of the focus of the parabola $y^2 = 16x$ from its directrix is...

Find the locus of the midpoint of the chord of the parabola $y^2 = 4x$ drawn from the vertex.

Suppose $BOAC$ is a rectangle in the $XY$-plane where $O$ is the origin and $A, B$ lie on the parabola $y=x^2$. Then,$C$ must lie on the curve

Find the coordinates of the focus,axis of the parabola,the equation of the directrix,and the length of the latus rectum for $x^{2}=-9y$.