2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-27

  • question_answer
    If \[f(x)={{x}^{x}};\] \[[a,\infty ]\to [b,\infty ]\] is an invertible function then the minimum value of a and b are -

    A) \[\frac{1}{e},{{e}^{-1/e}}\]

    B) \[e,{{e}^{1/e}}\]

    C) \[\frac{1}{e},{{e}^{-e}}\]

    D) none of these

    Correct Answer: A

    Solution :

    \[f(x)={{x}^{x}}\]
    \[f'(x)={{x}^{x}}(1+\ell nx)=0\]           \[\Rightarrow x=\frac{1}{e}\]
    \[\therefore \,\,\,a=\frac{1}{e}\] & \[b={{e}^{-\frac{1}{e}}}\]


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