• # question_answer DIRECTION (Qs. 81): Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (ONLY ONE option is correct) from the following- Statement-1: Range of$f(x)=\sqrt{4-{{x}^{2}}}$is$[0,\,\,2]$. Statement-2: $f(x)$ is increasing for $0\le x\le 2$ and decreasing for$-2\le x\le 0$. A)  Statement-1 is false, Statement-2 is true.B)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.C)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.D)  Statement-1 is true, Statement-2 is false.

$f'(x)=\frac{-x}{\sqrt{4-{{x}^{2}}}}$ $\therefore$$f(x)$is increasing for $-2\le x\le 0$ and decreasing for$0\le x\le 2$.