Free Printable CT 1: CSE(D) 44th(10+13) MAT 231 complex Number

1.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

2.

Multiply:
(4 – 3i)(7 + 2i)

a)

A. 22 - 13i

b)

B. 28 - 19i

c)

C. 34 - 13i

d)

D. -34 - 29i

3.

What complex number is shown on the graph in the from of z=x+iy?

a)

z = (-2,-3)

b)

z = -2-3i

c)

z = 2-3i

d)

z = 3i-2

4.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

5.

A complex number can be expressed as z = x + iy. What does x represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

e)

None

6.

What is the value of the expression below?

(2 + 4i) + i(2 + i)

a)

4 + 5i

b)

2 + 7i

c)

7i

d)

1 + 6i

e)

None

7.

What is standard form complex numbers?

a)

a number that can be expressed in the form xi + y

b)

a number that can be expressed in the form x + iy

c)

a number that can be expressed in the form x - iy

d)

a number that can be expressed in the form ix - y

e)

none

8.

To divide complex numbers, you must multiply with the ................

a)

conjurate

b)

conjugate

c)

conjuring

d)

imaginary

e)

None

9.

Find polar representation of (-1-i)

a)

$\sqrt{2}\left(\cos\ \frac{\pi}{4}-i\ \sin\ \frac{\pi}{4}\right)$

b)

$\sqrt{2}\left(\cos\ \frac{\pi}{4}+i\ \sin\ \frac{\pi}{4}\right)$

c)

$\sqrt{2}\left(\cos\ \frac{3\pi}{4}+i\ \sin\ \frac{3\pi}{4}\right)$

d)

$\sqrt{2}\left(\cos\ \frac{3\pi}{4}-i\ \sin\ \frac{3\pi}{4}\right)$

10.

Subtract 2-9i from 10+3i When the answer is in x + iy form, what is the value of x?

a)

20

b)

27

c)

8

d)

12

e)

None

11.

How many roots of the complex number $z^3=\left(5-2i\right)^{\frac{2}{5}}$ ?

a)

3

b)

6

c)

15

d)

$\frac{2}{15}$

CT 1: CSE(D) 44th(10+13) MAT 231 complex Number

Total questions: 11

Worksheet time: 23mins

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