# Recent questions tagged argand-plane-and-polar-representation

### If $\big|z-\large\frac{4}{z}\big|$$=2,the maximum value of \mid z\mid is equal to ### Let z,\omega be two comlex numbers such that \overline{z}+i\overline{\omega}=0 and arg(z\omega)=\pi, then arg(z) equal to ### z and \omega are two non zero complex numbers such that \mid z\mid=\mid \omega\mid and arg(z)+arg(\omega)=\pi.Then z equals ### If for any complex number z, |z-1|=1, then \large\frac{z-2}{z}=? ### If z\:\:and\:\:w are two non zero complex numbers such that |zw|=1 and Arg(z)-Arg(w)=\large\frac{\pi}{2}, then \overline z w = ? ### The complex number z, satisfying the equation |\large\frac{z-5i}{z+5i}|=$$1$ lies on?

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