A) \[4\]
B) \[3\]
C) \[\frac{1}{9}\]
D) \[\frac{1}{3}\]
Correct Answer: A
Solution :
Let\[e\]be the identity, \[\therefore \] \[a*e=a\] \[\Rightarrow \] \[\frac{ae}{6}=a\] \[\Rightarrow \] \[e=6\] \[\because \] \[a*{{a}^{-1}}=e\] \[\therefore \] \[a*{{a}^{-1}}=6\] \[\Rightarrow \] \[\frac{a{{a}^{-1}}}{6}=6\] \[\Rightarrow \] \[{{a}^{-1}}=\frac{6\times 6}{a}\] \[\therefore \] \[{{9}^{-1}}=\frac{6\times 6}{9}=4\]You need to login to perform this action.
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