MathsJEE Main 2 Apr 2026, Shift 2·Q23·Numerical·Moderate

Conic Sections · Locus as an ellipse

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

e

, then

72e^2

is equal to .

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