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Ellipse question

2025 · 29 Jan · Shift 2 · Q36
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  5. /2025 · 29 Jan · Shift 2 · Q36

Ellipse question

2025 · 29 Jan · Shift 2 · Q36

JEE MainMathematicsEllipseMCQ+4 / −1
If αx+βy=109\alpha x+\beta y=109αx+βy=109 is the equation of the chord of the ellipse x29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=19x2​+4y2​=1, whose mid point is (52,12)\left(\frac{5}{2}, \frac{1}{2}\right)(25​,21​). then α+β\alpha+\betaα+β is equal to :
  1. A
    37
  2. B
    46
  3. C
    72
  4. D
    58
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