The lines represented by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\] will be equidistant from the origin, if

\[{{f}^{2}}+{{g}^{2}}=a{{f}^{2}}+b{{g}^{2}}\]

\[{{f}^{4}}+{{g}^{4}}=c(b{{f}^{2}}+a{{g}^{2}})\]

\[{{f}^{4}}-{{g}^{4}}=c(b{{f}^{2}}-a{{g}^{2}})\]

The lines represented by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx

1.	The lines represented by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\] will be equidistant from the origin, if
A.	\[{{f}^{2}}+{{g}^{2}}=c(b-a)\]
B.	\[{{f}^{4}}+{{g}^{4}}=c(b{{f}^{2}}+a{{g}^{2}})\]
C.	\[{{f}^{4}}-{{g}^{4}}=c(b{{f}^{2}}-a{{g}^{2}})\]
D.	\[{{f}^{2}}+{{g}^{2}}=a{{f}^{2}}+b{{g}^{2}}\]
Answer» D. \[{{f}^{2}}+{{g}^{2}}=a{{f}^{2}}+b{{g}^{2}}\]

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The lines represented by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\] will be equidistant from the origin, if

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