If a parabola passes through the points $(-2, 1)$,$(1, 2)$,and $(-1, 3)$ and has a horizontal axis,then the length of the latus rectum of that parabola is:

The angle between the tangents drawn at the end points of the latus rectum of the parabola $y^2 = 4ax$ is

The equation $y^{2}+4x+4y+k=0$ represents a parabola whose latus rectum is

The lengths of the two focal chords of the parabola $y^2 = 16x$ are $25$ units each. If these two chords cut the parabola at $A, B, C$ and $D$,then the area (in sq. units) of the quadrilateral formed by $A, B, C$ and $D$ is

Let $A$ and $B$ be two distinct points on the parabola $y^2 = 4x$. If the axis of the parabola touches a circle of radius $r$ having $AB$ as its diameter,then the slope of the line joining $A$ and $B$ can be

What is the angle subtended by the latus rectum of the parabola $y^2 = ax$ at its vertex?