JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Integral power of iota, Algebraic operations and Equality of complex numbers

  • question_answer \[a+ib>c+id\]can be explained only when

    A) \[b=0,c=0\]

    B) \[b=0,d=0\]

    C) \[a=0,c=0\]

    D) \[a=0,d=0\]

    Correct Answer: B

    Solution :

    \[a+ib>c+id\], it is defined if and only if imaginary parts must be equal to zero. Therefore \[ib=id=0\]Þ \[b=d=0\]  \[(\because i\ne 0)\]

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