The equation \[a{{x}^{2}}+b{{y}^{2}}+2hxy+2gx+2fy+c=0\] will represent a circle, if [MNR 1979; MP PET 1988; RPET 1997, 2003]

The equation \[a{{x}^{2}}+b{{y}^{2}}+2hxy+2gx+2fy+c=0\] will represent

1.	The equation \[a{{x}^{2}}+b{{y}^{2}}+2hxy+2gx+2fy+c=0\] will represent a circle, if [MNR 1979; MP PET 1988; RPET 1997, 2003]
A.	\[a=b=0\] and \[c=0\]
B.	\[f=g\] and \[h=0\]
C.	\[a=b\ne 0\] and \[h=0\]
D.	\[f=g\] and \[c=0\]
Answer» D. \[f=g\] and \[c=0\]

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The equation \[a{{x}^{2}}+b{{y}^{2}}+2hxy+2gx+2fy+c=0\] will represent a circle, if [MNR 1979; MP PET 1988; RPET 1997, 2003]

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