If AB is a double ordinate of the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] such that \[\Delta OAB\] is an equilateral triangle O being the origin, then the eccentricity of the hyperbola satisfies.

If AB is a double ordinate of the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2

1.	If AB is a double ordinate of the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] such that \[\Delta OAB\] is an equilateral triangle O being the origin, then the eccentricity of the hyperbola satisfies.
A.	\[e>\sqrt{3}\]
B.	\[1<e<\frac{2}{\sqrt{3}}\]
C.	\[e=\frac{2}{\sqrt{3}}\]
D.	\[e>\frac{2}{\sqrt{3}}\]
Answer» E.

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If AB is a double ordinate of the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] such that \[\Delta OAB\] is an equilateral triangle O being the origin, then the eccentricity of the hyperbola satisfies.

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