The line $lx + my + n = 0$ is normal to the circle ${x^2} + {y^2} + 2gx + 2fy + c = 0$, if

  • A

    $lg + mf - n = 0$

  • B

    $lg + mf + n = 0$

  • C

    $lg = mf - n = 0$

  • D

    $lg - mf + n = 0$

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  • [JEE MAIN 2021]

The co-ordinates of the point from where the tangents are drawn to the circles ${x^2} + {y^2} = 1$, ${x^2} + {y^2} + 8x + 15 = 0$ and ${x^2} + {y^2} + 10y + 24 = 0$ are of same length, are