CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    If r is a real number such that\[|r|<1\]and if \[a=5(1-r),\]then

    A)  \[0<a<5\]          

    B)         \[-5<a<5\]

    C)  \[0<a<10\]        

    D)         \[0\le a<10\]

    E)  \[-10<a<10\]

    Correct Answer: C

    Solution :

    \[\because \]\[|r|<1\] \[\Rightarrow \]               \[-1<r<1\] Also,      \[a=5(1-r)\] \[\Rightarrow \]\[0<a<10\]         \[\left( \begin{align}   & \because at\,r=-1,\,a=10 \\  & and\,at\,r=1,\,a=0 \\ \end{align} \right)\]


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