Question

Let the eccentricity of the hyperbola

be reciprocal to that of the ellipse x²+4y²=4. If the hyperbola passes through a focus of the ellipse, then

• A. The equation of the hyperbola is $\frac{x^2}{3}-\frac{y^2}{2}=1$
• B. A focus of the hyperbola is $(2,0)$
• C. The eccentricity of the hyperbola is $\sqrt{\frac{5}{3}}$
• D. The equation of the hyperbola is $x^2-3y^2=3$

Answer 1

The correct option is D The equation of the hyperbola is $x^2-3y^2=3$