MathsJEE Main 24 Jan 2026, Shift 2·Q22·Numerical·Easy–moderate

Conic Sections · Locus and eccentricity of ellipse

Let

(h, k)

lie on the circle

C : x^2 + y^2 = 4

and the point

(2h + 1, 3k + 2)

lie on an ellipse with eccentricity

e

. Then the value of

\dfrac{5}{e^2}

is equal to .

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