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 mid point is (\frac{5}{2}, \frac{1}{2}), then \alpha+\beta is equal to [29 Jan 2025 Shift 2]

JEE Main 29 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 12 of 75

Marks: +1, -0

If αx+βy=109 is the equation of the chord of the ellipse ‌

+‌

=1, whose mid point is (‌

,‌

), then α+β is equal to

[29 Jan 2025 Shift 2]

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