KVPY Sample Paper KVPY Stream-SX Model Paper-11

  • question_answer
    If  Then A is:

    A) invertible only if t \[t=\frac{\pi }{2}\]

    B) not invertible for any\[t\in R\]

    C) invertible for all \[t\in R\]

    D) invertible only if \[t\in \pi \]

    Correct Answer: C

    Solution :

    \[=\,{{e}^{-1}}\left[ 5{{\cos }^{2}}t+5{{\sin }^{2}}t \right]\forall t\in R\] \[=5{{e}^{-t}}\ne 0\,\forall \,t\in R.\]


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