JEE Main & Advanced Sample Paper JEE Main Sample Paper-36

  • question_answer
    Complex number \[z\] satisfies \[|z-a+ia|\,\,=1\] and has the least absolute value. Its absolute value is

    A) \[a\sqrt{2}-1\]                         

    B) \[a\sqrt{2}+1\]

    C) \[0\]                                         

    D) \[a\]

    Correct Answer: A

    Solution :

     \[|z-{{z}_{0}}|\,\,=r\], represents a circle so the least modulus of \[z\]is \[|{{z}_{0}}{{|}^{2}}-r\].


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