9000031206 Level: AFind the opposite number to the complex number \(z = \frac{1+\mathrm{i}} {1-\mathrm{i}}\).\(-\mathrm{i}\)\(1\)\(- 1\)\(\mathrm{i}\)
9000031203 Level: AFind the real part of the complex number \(z = \frac{2-\mathrm{i}} {2+\mathrm{i}}\).\(0.6\)\(0.8\)\(- 0.8\)\(1\)
9000031202 Level: AFind the imaginary part of the complex number \(z = \frac{2+\mathrm{i}} {1-\mathrm{i}}\).\(\frac{3} {2}\)\(-\frac{3} {2}\)\(\frac{1} {2}\)\(-\frac{1} {2}\)
9000031204 Level: AFind the absolute value of the complex number \(z = \frac{2-\mathrm{i}} {2+\mathrm{i}}\).\(1\)\(5\)\(\frac{\sqrt{7}} {5} \)\(\frac{\sqrt{5}} {5} \)
9000031205 Level: AFind the complex conjugate of \(z = \mathrm{i}^{5} - 3\mathrm{i}^{10}\).\(3 -\mathrm{i}\)\(- 3 -\mathrm{i}\)\(- 3 + \mathrm{i}\)\(3 + \mathrm{i}\)