If α x + β y = 109 is the equation of the chord of the ellipse x²… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

If $\alpha x + \beta y = 109$ is the equation of the chord of the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$ whose midpoint is $\left(\frac{5}{2}, \frac{1}{2}\right)$ , then $\alpha + \beta$ is equal to:

A
$37$
B
$46$
C
$58$
D
$72$

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