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JEE Main 2016 Mathematics question

MathematicsHyperbolaJEE Main 2016

A hyperbola whose transverse axis is along the major axis of the conic and has vertices at the foci of the conic. If the eccentricity of the hyperbola is , then which of the following points does not lie on the hyperbola ?

Answer: (3)

Solution

Put the conic in standard form: becomes . Since , the major axis is along , with and , so

e = = Missing argument for \frac\frac12,

and the foci are at . The hyperbola has its transverse axis along

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Question ID VK-115656