If any point on a hyperbola is (3 , 2 ), then what is the eccentricity of the hyperbola?

NDA 2021 Mathematics question

If any point on a hyperbola is , then what is the eccentricity of the hyperbola?

Answer: (D)

Let and . Then , and, using , . This is a hyperbola with transverse axis along the -axis, with

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Question ID VK-033555