Q .     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`. lf the hyperbola passes through a focus of the ellipse, then

JEE 2011 ADVANCED Paper - 1

(This question may have multiple correct answers)

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`

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