In this video we have discussed the following questions,
1. A double ordinate of parabola y2 = 2ax is of length 4a.Prove that the lines joining the vertex to ends are at right angles.
2. Find the locus of the middle points of the chord of the parabola y2 = 4ax passing through the vertex .Prove that it is a parabola . Find its length of latus rectum.
3. Prove that the locus of the middle points of the chord of the parabola y2 = 4ax
which is passes through the focus is a parabola.
4. Show that the lines joining the ends of the latus rectum of parabola y2 = 4ax to the point
of intersection of the directrix and the axis are right angles to each other.
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