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JEE Main 2022 Mathematics question

MathematicsHyperbolaJEE Main 2022

Let a > 0, b > 0. Let e and respectively be the eccentricity and length of the latus rectum of the hyperbola . Let and respectively be the eccentricity and length of the latus rectum of its conjugate hyperbola. If and , then the value of 77a + 44b is equal to :

Answer: (4)

Solution

For H, and , so gives . For the conjugate hyperbola, and , so gives

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Question ID VK-034878