WorksheetsComplex Numbers
Total questions: 8
Worksheet time: 59mins
Simplify (3 - 2i) + (5 - I)
3i - 8
8 - 3i
13 - 13i
13 (1 - I)
What is the value of i3042
i
1
-1
Can not be simplified
Find the modulus of (7 - i) / (3 - 4i)
21/2
2
0
1
Find the argument of (7 - i) / (3 - 4i)
45° , 270°
45° only
π / 4 , 3π / 2
π / 4 only
The complex numbers u and v satisfy the equations
u + 2v = 2i and iu + v = 3.
Solve the equations for u and v, giving both answers in the form x + iy, where x and y are real.
u = -2 - 2i
v = 1 + 2i
u = 2 + 2i
v = 1 - 2i
u = 2i - 2
v = -1 - 2i
u = 1 + 2i
v = - (2 + 2i)
Given |z + i| = 1 and arg (w − 2) = 3π / 4.
Find the least value of |z - w| for points on these loci.
(3 / 21/2 ) - 1
21/2 - 3
3 - 5 (21/2)
51/2 -1
Simplify (22 + 4i) / (2 - i)2
3 - 5i
-1 + 2i
2 + 4i
1 - 2i
Without the use of a calculator, find the square roots of the complex number 7 − 6 (21/2i). Give your answers in the form x + iy, where x and y are real and exact.
2 + 3i
-2 - 3i
3 - (21/2)i
1 + (21/2)i
