JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of the function \[\sqrt{2-x}-\frac{1}{\sqrt{9-{{x}^{2}}}}\] is

    A)            (?3, 1)

    B)            [?3, 1]

    C)            (?3, 2]

    D)            [?3, 1)

    Correct Answer: C

    Solution :

               (i) \[x\le 2\]    (ii) \[\sqrt{9-{{x}^{2}}}>0\,\,\Rightarrow \,\,|\,\,x\,\,|\,<3\] or \[-3<x<3.\]            Hence domain is \[(-\,3,\,\,2].\]


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