If the line \( y=m x+7 \sqrt{3} \) is normal to the hyperbola \( \f...

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If the line \( y=m x+7 \sqrt{3} \) is normal to the hyperbola \( \frac{x^{2}}{24}-\frac{y^{2}}{18}=1 \), then a value of \( m \) is
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(a) \( \frac{3}{\sqrt{5}} \)
(b) \( \frac{\sqrt{15}}{2} \)
(2019 Main, 9 April I)
W)
(c) \( \frac{2}{\sqrt{5}} \)
(d) \( \frac{\sqrt{5}}{2} \)
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