Question

Let the eccentricity of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ be reciprocal to that of the ellipse $x^2+4y^2=4$. If the hyperbola passes through a focus of the ellipse, then:

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

Answer 1

Answer: (B), (D)

The correct options are
B a focus of hyperbola is $(2,0)$
D Equation of hyperbola is $x^2-3y^2=3$