JEE Main 2024 Mathematics question

MathematicsDifferential EquationJEE Main 2024

Suppose the solution of the differential equation represents a circle passing through origin. Then the radius of this circle is:

Answer: (C)

Solution

The equation is exact with solution (2 + α)x²/2 − βxy + 2x + αy² + (βγ − 4α)y = c. A circle needs the x² and y² coefficients equal

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Question ID VK-012121