A) \[[-2,\,\,1]\]
B) \[(-2,\,\,1)\]
C) \[[-2,\,\,1)\]
D) \[(-2,\,\,1]\]
Correct Answer: B
Solution :
Key Idea: \[\log x\] is defined for\[x>0\]. Let \[f(x)=\sin \log \left( \frac{\sqrt{4-{{x}^{2}}}}{1-x} \right)\] For domain of\[f(x)\], \[\frac{\sqrt{4-{{x}^{2}}}}{1-x}>0\] \[\Rightarrow \] \[4-{{x}^{2}}>0\]and\[1-x>0\] \[\Rightarrow \] \[-2<x<2\]and\[x<1\] \[\Rightarrow \] \[x\in (-2,\,\,1)\]You need to login to perform this action.
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