The value of $m$ for which $y = mx + 6$ is a tangent to the hyperbola $\frac{x^2}{100} - \frac{y^2}{49} = 1$ is:

  • A
    $\sqrt{\frac{17}{20}}$
  • B
    $\sqrt{\frac{20}{17}}$
  • C
    $\sqrt{\frac{3}{20}}$
  • D
    $\sqrt{\frac{20}{3}}$

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