9000031203 Level: AFind the real part of the complex number \(z = \frac{2-\mathrm{i}} {2+\mathrm{i}}\).\(0.6\)\(0.8\)\(- 0.8\)\(1\)
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 \(z = \mathrm{i}^{5} - 3\mathrm{i}^{10}\).\(3 -\mathrm{i}\)\(- 3 -\mathrm{i}\)\(- 3 + \mathrm{i}\)\(3 + \mathrm{i}\)
9000031206 Level: AFind the opposite number to the complex number \(z = \frac{1+\mathrm{i}} {1-\mathrm{i}}\).\(-\mathrm{i}\)\(1\)\(- 1\)\(\mathrm{i}\)
9000034801 Level: AGiven complex numbers \(z_{1} = 4 -\mathrm{i}\) and \(z_{2} = 1 - 2\mathrm{i}\), find \(z_{1} - z_{2}\).\(3 + \mathrm{i}\)\(3 - 3\mathrm{i}\)\(5 - 3\mathrm{i}\)\(3 -\mathrm{i}\)
9000034802 Level: AFind the opposite number to the complex number \(z = 3 -\mathrm{i}\).\(- 3 + \mathrm{i}\)\(- 3 -\mathrm{i}\)\(3 + \mathrm{i}\)\(3 -\mathrm{i}\)
9000034803 Level: AFind the complex conjugate of \(z = 1 - 3\mathrm{i}\).\(1 + 3\mathrm{i}\)\(- 1 - 3\mathrm{i}\)\(- 1 + 3\mathrm{i}\)\(1 - 3\mathrm{i}\)
9000034804 Level: AFind the absolute value of the complex number \(z = 3 -\mathrm{i}\).\(\sqrt{10}\)\(2\)\(2\sqrt{2}\)\(\sqrt{2}\)
9000034805 Level: AFind the complex number \(z\) which satisfies \(2z = 2 - 3\mathrm{i}\).\(1 -\frac{3} {2}\mathrm{i}\)\(- 3\mathrm{i}\)\(4 - 6\mathrm{i}\)\(- 1 + \frac{3} {2}\mathrm{i}\)