Let H : x^ 2 /a^ 2 - y^ 2 /b^ 2 = 1, a 0, b 0, be a hyperbola such that the sum of lengths of the...

Question

Let H : x^ 2 /a^ 2 - y^ 2 /b^ 2 = 1, a > 0, b > 0, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes is 4(2 2 + 14 ). If the eccentricity H is 11 /2, then the value of a^ 2 + b^ 2 is equal to _____.

Accepted Answer

88

JEE Main 2022 Mathematics question

Solution

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