9000035706
Level:
A
Find the absolute value of the complex number
\(z = \frac{2+6\mathrm{i}}
{1-2\mathrm{i}}\).
\(2\sqrt{2}\)
\(2\sqrt{5}\)
\(2\)
\(2\sqrt{3}\)
A
9000035708
Level:
A
Find the imaginary part of the complex number
\(z=1 + 2\mathrm{i}^{12} + 3\mathrm{i}^{19} -\mathrm{i}^{22} + 2\mathrm{i}^{105}\).
\(- 1\)
\(- 5\)
\(1\)
\(4\)
9000035707
Level:
A
Find the real part of the complex number
\(z= 2 + 2\mathrm{i}^{2} + \mathrm{i}^{3} -\mathrm{i}^{4} + 2\mathrm{i}^{5}\).
\(- 1\)
\(1\)
\(5\)
\(- 3\)
9000035701
Level:
A
What is the algebraic form of the complex number \( A \) graphed in the complex
plane (as shown in the picture)?
\( -3 + 2\mathrm{i}\)
\( 2 - 3\mathrm{i}\)
\( 2 + 3\mathrm{i}\)
\( -3 - 2\mathrm{i}\)
9000035702
Level:
A
Find the absolute value of the complex number \( A \) graphed in the complex
plane as shown in the picture.
\(5\)
\(\sqrt{5}\)
\(3\)
\(4\)
9000033907
Level:
A
Convert \(\frac{6}
{5}\pi \)
radians to degrees.
\(216^{\circ }\)
\(432^{\circ }\)
\(116^{\circ }\)
\(378^{\circ }\)
9000033905
Level:
A
In the interval \([0^{\circ };360^{\circ })\) find the angle
equivalent to the angle \(- 428^{\circ }\).
\(292^{\circ }\)
\(192^{\circ }\)
\(68^{\circ }\)
\(168^{\circ }\)
9000033904
Level:
A
In the interval \([0;2\pi )\) find the angle
equivalent to the angle \(-\frac{17}
{3} \pi \).
\(\frac{\pi }{3}\)
\(\frac{2}
{3}\pi \)
\(\frac{4}
{3}\pi \)
\(\frac{5}
{3}\pi \)
9000033902
Level:
A
Associate the angle \(\frac{7}
{8}\pi \)
to the corresponding quadrant.
II.
I.
III.
IV.
9000033901
Level:
A
Associate the angle \(\frac{7}
{6}\pi \)
to the corresponding quadrant.
III.
I.
II.
IV.