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JEE Main 2026 Mathematics question

MathematicsEllipseJEE Main 2026

Let A be the point (3, 0) and circles with variable diameter AB touch the circle x² + y² = 36 internally. Let the curve C be the locus of the point B. If the eccentricity of C is e, then 72e² is equal to .

Answer: 18

Solution

Internal tangency gives |OM| = 6 − |AB|/2, where M is the midpoint of AB, leading to |BA| + |BO'|-type sum... concretely, |AB|

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Question ID VK-015132