A) 6
B) 1
C) 1/6
D) 3/2
Correct Answer: C
Solution :
Given binary operation is \[a*b=\frac{3ab}{2}\] ?... (i) Now \[2*x=\frac{3}{2}.2x=3x\] [from Eq. (i)] ?...(ii) and \[(3x)*\frac{1}{3}=\frac{3}{2}.3x.\frac{1}{3}=\frac{3x}{2}\] ?..(iii) [from Eq. (i)] Then, \[(2*x)*\,{{3}^{-1}}={{4}^{-1}}\] \[\Rightarrow \] \[(3x)*\frac{1}{3}=\frac{1}{4}\][from Eq. (ii)] \[\Rightarrow \] \[\frac{3x}{2}=\frac{1}{4}\] [from Eq. (iii)] \[\Rightarrow \] \[x=\frac{1}{6}\]You need to login to perform this action.
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