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Question

Question: Eccentricity of the hyperbola conjugate to the hyperbola \(\frac{x^{2}}{4} - \frac{y^{2}}{12} = 1\) ...

Eccentricity of the hyperbola conjugate to the hyperbola x24y212=1\frac{x^{2}}{4} - \frac{y^{2}}{12} = 1 is:

A

23\frac{2}{\sqrt{3}}

B

2

C

3\sqrt{3}

D

43\frac{4}{3}

Answer

23\frac{2}{\sqrt{3}}

Explanation

Solution

412\frac{4}{12}= e2 –1

e2 = 4/3

e =2/3\sqrt{3}