The locus of midpoint of the chords of the circle \[{{x}^{2}}+{{y}^{2}}-2x-2y-2=0\]which makes an angle of \[120{}^\circ \] at the centre is [MNR 1994]

\[{{x}^{2}}+{{y}^{2}}+x+y-1=0\]

\[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0\]

\[{{x}^{2}}+{{y}^{2}}-2x-2y-1=0\]

The locus of midpoint of the chords of the circle \[{{x}^{2}}+{{y}^{2}

1.	The locus of midpoint of the chords of the circle \[{{x}^{2}}+{{y}^{2}}-2x-2y-2=0\]which makes an angle of \[120{}^\circ \] at the centre is [MNR 1994]
A.	\[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0\]
B.	\[{{x}^{2}}+{{y}^{2}}+x+y-1=0\]
C.	\[{{x}^{2}}+{{y}^{2}}-2x-2y-1=0\]
D.	None of these
Answer» B. \[{{x}^{2}}+{{y}^{2}}+x+y-1=0\]

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The locus of midpoint of the chords of the circle \[{{x}^{2}}+{{y}^{2}}-2x-2y-2=0\]which makes an angle of \[120{}^\circ \] at the centre is [MNR 1994]

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