A) Statement 1 is false; Statement 2 is true.
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 true; Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
Correct Answer: C
Solution :
Let \[y={{x}^{2}}.{{e}^{-x}}\] For increasing function, \[\frac{dy}{dx}>0\Rightarrow x[(2-x){{e}^{-x}}]>0\] \[\because \]\[x>0,\] \[\therefore \]\[(2-x){{e}^{-x}}>0\] \[\Rightarrow \] \[(2-x)\frac{1}{{{e}^{x}}}>0\] For \[0<x<2,(2-x)<0\] \[\therefore \]\[\frac{1}{{{e}^{x}}}<0\],but it is not possible Hence the statement-2 is false.You need to login to perform this action.
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