A) 83
B) 79
C) 11
D) 7
Correct Answer: A
Solution :
Given \[x-\frac{1}{x}=9\] Square both sides, we get \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-2x.\frac{1}{x}=81\] or \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-2=81\] or \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=81+2=83\]
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