The value of \( m \) for which \( y=m x+6 \) is a tangent to \( \ma...

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The value of \( m \) for which \( y=m x+6 \) is a tangent to
\( \mathrm{P} \) the hyperbola \( \frac{x^{2}}{100}-\frac{y^{2}}{49}=1 \), is

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(1) \( \sqrt{\frac{17}{20}} \)
(2) \( \sqrt{\frac{20}{17}} \)
(3) \( \sqrt{\frac{3}{20}} \)
(4) \( \sqrt{\frac{20}{3}} \)
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