Category : JEE Main & Advanced
The locus of the middle points of a system of parallel chords of a circle is called a diameter of the circle.
The equation of the diameter bisecting parallel chords \[y=mx+c\] (c is a parameter) of the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is \[x+my=0.\]
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