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

  • question_answer
    The statement \[(a+ib)<(c+id)\] is true for [RPET 2002]

    A) \[{{a}^{2}}+{{b}^{2}}=0\]

    B) \[{{b}^{2}}+{{c}^{2}}=0\]

    C) \[{{a}^{2}}+{{c}^{2}}=0\]

    D) \[{{b}^{2}}+{{d}^{2}}=0\]

    Correct Answer: D

    Solution :

      \[a+ib<c+id,\,\] defined if and  only if its imaginary parts must be equal to zero, i.e. \[b=d=0.\]So,\[{{b}^{2}}+{{d}^{2}}=0\].

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