A) 1
B) 4/3
C) 1/3
D) 2/3
Correct Answer: D
Solution :
We have, \[\frac{2x}{1+\frac{1}{1+\frac{x}{1-x}}}=1\] \[\Rightarrow \] \[\frac{2x}{1+\frac{1}{\frac{1-x+x}{1-x}}}=1\] \[\Rightarrow \] \[\frac{2x}{1+1-x}=1\] \[\Rightarrow \] \[\frac{2x}{2-x}=1\] \[\Rightarrow \] \[2x=2-x\,\Rightarrow \,3x=2\Rightarrow x=\frac{2}{3}\]You need to login to perform this action.
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