Suppose the solution of the differential equation (d y)/(d x)=((2+α) x-β y+2)/(β x-2 α y-(β γ-4 α)) represents a circle passing through origin. Then the radius of this circle is:

Differential Equations: JEE Main 2024 Mathematics question

JEE Main 2024 · 6 Apr, Evening shift · Q3651

JEE Main 20246 Apr, Evening shiftMathematicsMediumDifferential Equations163× since 2002

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 :

JEE Main 2024 · 6 Apr, Evening shift · Q3651

JEE Main 20246 Apr, Evening shiftMathematicsMediumDifferential Equations163× since 2002

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 :