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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    Let\[z=\frac{11-3!}{1+i}.\]If a is a real number such that \[z-i\alpha \]is real, then the value of\[\alpha \]is

    A)  4                                            

    B)  \[-\,4\]

    C)  7                            

    D)         \[-\text{ }7\]

    E)  3

    Correct Answer: D

    Solution :

    \[\because \]     \[z=\frac{11-3i}{1+i}\times \frac{1-i}{1-i}\] \[=\frac{11-11i-3i-3}{1+1}\] \[=\frac{8-14i}{2}=4-7i\] Also, \[\alpha \]is a real number such that\[z-i\alpha \]is real. \[\therefore \]\[4-7i-i\alpha \] is real, if \[\alpha =-7\].


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