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JEE Main & Advanced Sample Paper JEE Main Sample Paper-15

  • question_answer
    If \[\frac{z+2i}{z-2i}\]is purely imaginary then \[|z|\] is

    A)  1                                            

    B)  2

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

    D) \[\frac{1}{4}\]

    Correct Answer: B

    Solution :

    \[\frac{z+2i}{z-2i}=\lambda i\Rightarrow \frac{2z}{4i}=\frac{\lambda i+1}{\lambda i-1}\] \[\frac{z}{2i}=\frac{\lambda i+1}{\lambda i-1}\Rightarrow |z|=2\]


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