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JEE Main & Advanced Sample Paper JEE Main Sample Paper-24

  • question_answer
    If P is the affix of z in the Argand diagram and P moves so that \[\frac{z-i}{z-1}\] is always purely imaginary, then the locus of z is a circle whose radius is [Note: \[i=\sqrt{-1}\]]

    A)  \[\frac{1}{2}\]                                     

    B)  \[\frac{1}{\sqrt{2}}\]

    C)  \[\frac{1}{2\sqrt{2}}\]                          

    D)  \[\frac{1}{4}\]

    Correct Answer: B

    Solution :

    Circle whose centre is \[\left( \frac{1}{2},\,\frac{1}{2} \right)\] and radius \[\frac{1}{\sqrt{2}}\].


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