The equation of the circle having the lines $y^2 - 2y + 4x - 2xy = 0$ as its normals $\&$ passing through the point $(2 , 1)$ is :

  • A

    $x^2 + y^2 - 2x - 4y + 3 = 0$

  • B

    $x^2 + y^2 - 2x + 4y - 5 = 0$

  • C

    $x^2 + y^2 + 2x + 4y - 13 = 0$

  • D

    none

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  • [JEE MAIN 2023]