JEE Main 2016 Mathematics question

The eccentricity of the hyperbola whose length of its conjugate axis is equal to half of the distance between its foci, is

Answer: (1)

Solution

For the hyperbola , the conjugate axis has length and the distance between the foci is . The given condition is

2b = 12(2ae) = ae.

Squaring, . Substituting the

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Question ID VK-115475