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  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main Sample Paper-31

  • question_answer
    Let \[f(x)={{\sin }^{-1}}2x)+\cos ec(\cos e{{c}^{-1}}2x)\] \[+\tan ({{\tan }^{-1}}2x)\], then which one of the following statements is/are incorrect?

    A) \[f(x)\] is odd function.

    B) \[f(x)\] is injective.

    C) Range of \[f(x)\] contains only two integers.

    D) The value of \[f'\left( \frac{1}{2} \right)\] is equal to 6.

    Correct Answer: D

    Solution :

    \[f(x)=6x\] And domain: \[\left\{ \frac{-1}{2},\,\,\frac{1}{2} \right\}\]


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