The equation of radical axis of the circles ${x^2} + {y^2} + x - y + 2 = 0$ and $3{x^2} + 3{y^2} - 4x - 12 = 0,$ is

  • A

    $2{x^2} + 2{y^2} - 5x + y - 14 = 0$

  • B

    $7x - 3y + 18 = 0$

  • C

    $5x - y + 14 = 0$

  • D

    None of these

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  • [JEE MAIN 2023]

The equation of the circle through the points of intersection of ${x^2} + {y^2} - 1 = 0$, ${x^2} + {y^2} - 2x - 4y + 1 = 0$ and touching the line $x + 2y = 0$, is