Category : JEE Main & Advanced
The locus of the middle points of a system of parallel chords is called a diameter and in case of a parabola this diameter is shown to be a straight line which is parallel to the axis of the parabola.
The equation of the diameter bisecting chords of the parabola \[{{y}^{2}}=4ax\]of slope \[m\] is \[y=2a/m\].
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