If the equation of the parabola with vertex \(\mathrm{V}\left(\frac{3}{2}, 3\right)\) 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 :

[JEE Main 2025, 24 Jan (Shift 2)]

Question

If the equation of the parabola with vertex \(\mathrm{V}\left(\frac{3}{2}, 3\right)\) 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 :

[JEE Main 2025, 24 Jan (Shift 2)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

If the equation of the parabola with vertex \(\mathrm{V}\left(\frac{3}{2}, 3\right)\) and the directrix \(x+2 y=0\) is\(…

Practice more JEE Maths PYQs