gaokao 2025 Q3

gaokao · China · national-I_eol 5 marks Conic sections Eccentricity or Asymptote Computation
If the imaginary axis length of hyperbola $C$ is $\sqrt{7}$ times the real axis length, then the eccentricity of $C$ is
A. $\sqrt{2}$
B. $2$
C. $\sqrt{7}$
D. $2\sqrt{2}$
If the imaginary axis length of hyperbola $C$ is $\sqrt{7}$ times the real axis length, then the eccentricity of $C$ is\\
A. $\sqrt{2}$\\
B. $2$\\
C. $\sqrt{7}$\\
D. $2\sqrt{2}$