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MCQMediumJEE Main 2024 · 6 April, Shift 2Linear Differential Equations

Mathematics Question from JEE Main 2024 · 6 April, Shift 2

Suppose the solution of the differential equation dydx=[(2+α)x−βy+2][βx−2αy−(βy−4α)]\frac{dy}{dx} = \frac{[(2 + \alpha)x - \beta y + 2]}{[\beta x - 2\alpha y - (\beta y - 4\alpha)]} represents a circle passing through origin. Then the radius of this circle is:

  • A

    17\sqrt{17}

  • B

    12\frac{1}{2}

  • C

    172\frac{\sqrt{17}}{2}

  • D

    22

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