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 _ _ _.

Coordinate Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 2 Apr, Evening shift · Q23

JEE Main 20262 Apr, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let A be the point

(3, 0)

and circles with variable diameter AB touch the circle

x^2+y^2=36

internally. Let the curve C be the locus of the point B. If the eccentricity of C is e, then

72e^2

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.