The value of ' \( m \) ' for which the line \( y=m x+\frac{25 \sqrt{3}}{3} \) is a normal to the....

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The value of ' \( m \) ' for which the line \( y=m x+\frac{25 \sqrt{3}}{3} \) is
\( \mathrm{P} \)
a normal to the hyperbola \( \frac{x^{2}}{16}-\frac{y^{2}}{9}=1 \)
(1) \( \frac{\sqrt{3}}{2} \)
(2) \( -\frac{\sqrt{2}}{3} \)
(3) \( -\frac{2}{\sqrt{3}} \)
(4) none of these


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