If the line $y = mx + c$ touches the ellipse $\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1$,then $c = $

  • A
    $\pm \sqrt{b^2m^2 + a^2}$
  • B
    $\pm \sqrt{a^2m^2 + b^2}$
  • C
    $\pm \sqrt{b^2m^2 - a^2}$
  • D
    $\pm \sqrt{a^2m^2 - b^2}$

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