1.

\[a{{x}^{2}}+2{{y}^{2}}+2bxy+2x-y+c=0\] represents a circle through the origin, if                                      [MP PET 1984]

A.            \[a=0,\ b=0,\ c=2\]                
B.            \[a=1,\ b=0,\ c=0\]
C.            \[a=2,\ b=2,\ c=0\]                
D.            \[a=2,\ b=0,\ c=0\]
Answer» E.


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