The auxiliary equation of circle of hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], is

\[{{x}^{2}}+{{y}^{2}}={{b}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]

The auxiliary equation of circle of hyperbola \[\frac{{{x}^{2}}}{{{a}^

1.	The auxiliary equation of circle of hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], is
A.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]
B.	\[{{x}^{2}}+{{y}^{2}}={{b}^{2}}\]
C.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\]
D.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]
Answer» B. \[{{x}^{2}}+{{y}^{2}}={{b}^{2}}\]

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The auxiliary equation of circle of hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], is

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