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JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    If tangents drawn to circle \[\left| z \right|=4\] at points \[A({{z}_{1}})\] and \[B({{z}_{2}})\] intersect at P such that arg \[\left( \frac{{{z}_{2}}}{{{z}_{1}}} \right)=\frac{\pi }{2},\], then locus of P is

    A) \[\left| z \right|=2\]      

    B)    \[\left| z \right|=4\sqrt{2}\]

    C) \[\left| z \right|=2\sqrt{2}\]      

    D)    \[\left| z \right|=8\]

    Correct Answer: B

    Solution :

    Clearly locus of P(z) is director of \[|z|=4\]i.e.,\[|z|=4\sqrt{2}\]


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