If the equation of the parabola with vertex V (\frac{3}{2}, 3) and the directrix x+2 y=0 is \alpha x^2+\beta y^2-\gamma x y-30 x -60 y+225=0, then \alpha+\beta+\gamma is equal to: [24 Jan 2025 Shift 2]

JEE Main 24 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 8 of 75

Marks: +1, -0

If the equation of the parabola with vertex V(‌

,3) and the directrix x+2y=0 is αx2+βy2−γxy−30x −60y+225=0, then α+β+γ is equal to:

[24 Jan 2025 Shift 2]

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