Multiple Choice Questions

If 2x 1 1 1 x 1 ndash x 1 then find the value of x ........

Mathematics (NDA) Algebra

If 2x/(1 + 1/(1 + x/(1 – x))) = 1, then find the value of x.

1/3

2/3

1/2

3/2

2x/(1 + 1/(1 + x/(1-x))) = 1
2x/(1 + 1/((1-x+x)/(1-x))) = 1
2x/(1 + 1/(1/(1-x))) = 1
2x/(1 + 1-x) = 1
2x/(2-x) = 1
2x = 2-x
3x = 2
x = 2/3.

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