Let ( h , k ) lie on the circle C : x 2 + y 2 = 4 and the point ( 2 h + 1 , ? 3 k + 2 ) lie on an ellipse with eccentricity e . Then the value of 5 e 2 is equal to _________ [2026]

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Solution

Q.
Let $(h, k)$ lie on the circle $C : x^{2} + y^{2} = 4$ and the point $(2 h + 1, 3 k + 2)$ lie on an ellipse with eccentricity $e$ . Then the value of $\frac{5}{e^{2}}$ is equal to _________ [2026]

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