Questions in conic-section

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If a double ordinate of the parabola ${{y}^{2}}=4ax$ be of length $8a$ , then the angle between the lines joining the vertex of the parabola to the ends of this double ordinate is
PQ is a double ordinate of the parabola ${{y}^{2}}=4ax$ . The locus of the points of trisection of PQ is
If the vertex of a parabola be at origin and directrix be $x+5=0$ , then its latus rectum is
The latus rectum of a parabola whose directrix is $x+y-2=0$ and focus is (3, – 4), is
The equation of the lines joining the vertex of the parabola ${{y}^{2}}=6x$ to the points on it whose abscissa is 24, is
The points on the parabola ${{y}^{2}}=36x$ whose ordinate is three times the abscissa are
The points on the parabola ${{y}^{2}}=12x$ whose focal distance is 4, are
The focal distance of a point on the parabola ${{y}^{2}}=16x$ whose ordinate is twice the abscissa, is
The co-ordinates of the extremities of the latus rectum of the parabola $5{{y}^{2}}=4x$ are
A parabola passing through the point $(-4,\ -2)$ has its vertex at the origin and y-axis as its axis. The latus rectum of the parabola is

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