If the midpoint of a chord of the ellipse x²/9 + y²/4 = 1 is ( √2… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 28 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

If the midpoint of a chord of the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$ is $\left( \sqrt{2}, \frac{4}{3} \right)$ , and the length of the chord is $\frac{2\sqrt{\alpha}}{3}$ , then $\alpha$ is:

A
$18$
B
$22$
C
$26$
D
$20$

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