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Worksheets

Warm Up Grade 10 2

Total questions: 8

Worksheet time: 4mins

Name
Class
Date
1.

Where do we plot complex numbers?

a)

Cartesian Coordinate Plane

b)

Cartesian Complex Plane

c)

Euler's Plane

d)

Argand Diagram

2.

If z=x+yi, then the conjugate of z is

a)

y+xi

b)

y-xi

c)

-x+yi

d)

x-yi

3.

If z=3x+4i, what is |z|?

a)

-5

b)

25

c)

5

d)

-25

4.

If z=1+i is written in polar form, what would be its argument?

a)

sqrt 2

b)

45 degrees

c)

2

d)

x cis 90

5.

Solve for the modulus of z=6+7i

a)

sqrt 42

b)

sqrt 13

c)

sqrt (-1) or i

d)

sqrt 91

6.

 1+i31+i\sqrt{3}  

The polar form of this complex number is

a)

4 cis 60

b)

2 cis 60

c)

4 cis 30

d)

2 cis 30

7.

Which of the following is equal to sin (A+B)?

a)

cos A cos B - sin A sin B

b)

cos A cos B + sin A sin B

c)

cos A sin B - sin A cos B

d)

cos A sin B + sin A cos B

8.

Which of the following is equal to cos (A-B)?

a)

cos A cos B - sin A sin B

b)

cos A cos B + sin A sin B

c)

cos A sin B - sin A cos B

d)

cos A sin B + sin A cos B