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The line y = m*x + 7*sqrt(3) is a normal to the hyperbola x²/24 - y²/18 = 1. Find a permissible value of m.

1. 2/sqrt(5)
2. sqrt(5)/2
3. 3/sqrt(5)
4. sqrt(15)/2

Correct answer: 2/sqrt(5)

Solution

Substituting a² = 24, b² = 18, c = 7 sqrt3 into the normal condition gives a value of m.

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