JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • 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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