A) Statement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement -1
B) Statement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1.
C) Statement -1 is true, Statement -2 is false.
D) Statement -1 is false, Statement -2 is true.
Correct Answer: A
Solution :
\[AM\ge GM\] \[\frac{{{e}^{x}}+\frac{2}{{{e}^{x}}}}{2}\ge \sqrt{({{e}^{x}})\left( \frac{2}{{{e}^{x}}} \right)}\] \[{{e}^{x}}+\frac{2}{{{e}^{x}}}\ge 2\sqrt{2}\] (1) \[\because \] \[{{e}^{x}}>0\Rightarrow {{e}^{x}}+\frac{2}{{{e}^{x}}}>0\] (2) \[0<\frac{1}{{{e}^{x}}+\frac{2}{{{e}^{x}}}}\le \frac{1}{2\sqrt{2}}\] also\[f(c)=1/3\]for \[c=0\] so statement 1 : is true statement 2 : is also true with correct explanationYou need to login to perform this action.
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