If the line \({\rm{\;}}y = mx + 7\sqrt 3\) is normal to the hyperbola \({\rm{\;}}\frac{{{x^2}}}{{24}} - \frac{{{y^2}}}{{18}} = 1,\) then a value of m is:

If the line \({\rm{\;}}y = mx + 7\sqrt 3\) is normal to the hyperbol

1.	If the line \({\rm{\;}}y = mx + 7\sqrt 3\) is normal to the hyperbola \({\rm{\;}}\frac{{{x^2}}}{{24}} - \frac{{{y^2}}}{{18}} = 1,\) then a value of m is:
A.	\(\frac{{\sqrt 5 }}{2}\)
B.	\(\frac{{\sqrt {15} }}{2}\)
C.	\(\frac{2}{{\sqrt 5 }}\)
D.	\(\frac{3}{{\sqrt 5 }}\)
Answer» D. \(\frac{3}{{\sqrt 5 }}\)

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If the line \({\rm{\;}}y = mx + 7\sqrt 3\) is normal to the hyperbola \({\rm{\;}}\frac{{{x^2}}}{{24}} - \frac{{{y^2}}}{{18}} = 1,\) then a value of m is:

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