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1. $a - \frac{1}{a} = 3$

Answer: Option A

Explanation:

দ ে ও য় া আ ছ ে, a - \frac{1}{a} = 3 \Rightarrow {(a - \frac{1}{a})}^{2} = 3^{2} [ব র ্ গ ক র ে] \Rightarrow a^{2} - 2 . a . \frac{1}{b} + {(\frac{1}{b})}^{2} = 9 \Rightarrow a^{2} - 2 + \frac{1}{b^{2}} = 9 + 2 \Rightarrow a^{2} + \frac{1}{b^{2}} = 11

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