The value of \( m \), for which the line \( y=m x+\frac{25 \sqrt{3}...

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The value of \( m \), for which the line \( y=m x+\frac{25 \sqrt{3}}{3} \),
\( \mathrm{P} \) is a normal to the conic \( \frac{x^{2}}{16}-\frac{y^{2}}{9}=1 \), is
(1) \( \sqrt{3} \)
(2) \( -\frac{2}{\sqrt{3}} \)
(3) \( -\frac{\sqrt{3}}{2} \)
(4) 1
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