If the differential equation dy dx + x y = a y where a is constant, represents a family of circles then the radius of the circle is......

MHT CET 2025 Mathematics question

If the differential equation where a is constant, represents a family of circles then the radius of the circle is......

Answer: (B)

Multiply the equation by : , i.e. . Integrating, , so . Complete the square: . This is a circle with centre

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Question ID VK-101219