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Differential Equations question

2024 · 6 Apr · Shift 2 · Q42

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JEE Main
Mathematics
Differential Equations
2024 · 6 Apr · Shift 2 · Q42

Differential Equations question

2024 · 6 Apr · Shift 2 · Q42

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Suppose the solution of the differential equation

\frac{d y}{d x}=\frac{(2+\alpha) x-\beta y+2}{\beta x-2 \alpha y-(\beta \gamma-4 \alpha)}

represents a circle passing through origin. Then the radius of this circle is :

A
$\sqrt{17}$
B
2
C
$\frac{\sqrt{17}}{2}$
D
$\frac{1}{2}$

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