1.

The locus of the middle points of chords of the circle \[{{x}^{2}}+{{y}^{2}}-2x-6y-10=0\] which passes through the origin, is [Roorkee 1989]

A.   \[{{x}^{2}}+{{y}^{2}}+x+3y=0\]       
B.   \[{{x}^{2}}+{{y}^{2}}-x+3y=0\]
C.   \[{{x}^{2}}+{{y}^{2}}+x-3y=0\]
D.   \[{{x}^{2}}+{{y}^{2}}-x-3y=0\]
Answer» E.


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