JEE Main & Advanced Sample Paper JEE Main - Mock Test - 6

  • question_answer
    The range of the function \[f(x)=sin[x],-\frac{\pi }{4}\le x\le \frac{\pi }{4}\]where [x] denotes the greatest integer is

    A) {0}

    B) {0, -1}

    C) \[\left\{ 0,\pm \sin 1 \right\}\]       

    D) {0,-sin 1}

    Correct Answer: D

    Solution :

    [d]: The given function is\[f(x)=\sin [x]\] Clearly \[-\frac{\pi }{4}\le x<0\Rightarrow [x]=-1\] and \[0\le x<\frac{\pi }{4}\Rightarrow [x]=0\] \[\therefore \]Range \[=\left\{ 0,-\sin 1 \right\}\]

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