A) \[\pm \sqrt{2}\]
B) \[\pm \frac{1}{\sqrt{2}}\]
C) \[\pm 2\]
D) \[1\pm \frac{1}{2}\]
Correct Answer: B
Solution :
[b] \[\frac{a}{a+1}=\frac{a-1}{-a}\ne 1\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,-{{a}^{2}}={{a}^{2}}-1\,\Rightarrow \,\,2{{a}^{2}}=1\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,{{a}^{2}}=\frac{1}{2}\,\,\,\,\,\,\Rightarrow \,\,\,\,a=\pm \frac{1}{\sqrt{2}}\] |
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