JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Geometry of complex numbers

  • question_answer
    Length of the line segment joining the points \[-1-i\] and \[2+3i\]  is

    A) - 5

    B) 15

    C) 5

    D) 25

    Correct Answer: C

    Solution :

    Since the coordinates in complex plane are (2, 3) and \[(-1,\,-1)\] Hence the required distance is 5. Trick: We know that the distance between \[{{z}_{1}}\] and \[{{z}_{2}}\] is \[|{{z}_{1}}-{{z}_{2}}|\] therefore, the required length\[|2+3i+1+i|=5\].


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