2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Functions

JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    The Domain of the function \[f(x)=\sqrt{\frac{1}{\left| x-2 \right|-(x-2)}}\] is:

    A) \[\left( -\infty ,2 \right]\]

    B)        \[(2,\infty )\]

    C) \[(-\infty ,2)\]

    D)        \[[2,\infty )\]

    Correct Answer: C

    Solution :

    [c] \[\left| x-2 \right|=\left\{ \begin{matrix}    x-2,x\ge 2  \\    2-x,x<2  \\ \end{matrix} \right.\] \[\Rightarrow \left| x-2 \right|-(x-2)=\left\{ \begin{matrix}    0,x\ge 2  \\    4-2x,x<2  \\ \end{matrix} \right.\] \[\Rightarrow \] Given expression is defined for \[(-\infty ,2)\]


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