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JEE Main 2026 Mathematics question

MathematicsHyperbolaJEE Main 2026

If the eccentricity e of the hyperbola , passing through (6, 4√3), satisfies 15(e²+1)=34e, then the length of the latus rectum of the hyperbola is:

Answer: (A)

Solution

15e²−34e+15=0 gives e=5/3 (>1), so b²=a²(e²−1)=16a²/9. Passing through (6,4√3): 36/a²−48/b²=1

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Question ID VK-015645