JEE Main & Advanced Sample Paper JEE Main Sample Paper-19

  • question_answer 81) 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.

    Correct Answer: D

    Solution :

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

adversite



LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

You need to login to perform this action.
You will be redirected in 3 sec spinner

Free
Videos