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Parabola question

2025 · 24 Jan · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Parabola
2025 · 24 Jan · Shift 2 · Q37

Parabola question

2025 · 24 Jan · Shift 2 · Q37

JEE MainMathematicsParabolaMCQ+4 / −1

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 :

A
6
B
8
C
7
D
9

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