From the origin chords are drawn to the circle\[{{(x-1)}^{2}}+{{y}^{2}}=1\]. The equation of the locus of the middle points of these chords is [IIT 1985; EAMCET 1991]

From the origin chords are drawn to the circle\[{{(x-1)}^{2}}+{{y}^{2}

1.	From the origin chords are drawn to the circle\[{{(x-1)}^{2}}+{{y}^{2}}=1\]. The equation of the locus of the middle points of these chords is [IIT 1985; EAMCET 1991]
A.	\[{{x}^{2}}+{{y}^{2}}-3x=0\]
B.	\[{{x}^{2}}+{{y}^{2}}-3y=0\]
C.	\[{{x}^{2}}+{{y}^{2}}-x=0\]
D.	\[{{x}^{2}}+{{y}^{2}}-y=0\]
Answer» D. \[{{x}^{2}}+{{y}^{2}}-y=0\]

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From the origin chords are drawn to the circle\[{{(x-1)}^{2}}+{{y}^{2}}=1\]. The equation of the locus of the middle points of these chords is [IIT 1985; EAMCET 1991]

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