Argument and Modulus for Complex Numbers

Find the right Argand's Diagram for z = 4 - 8i

• 
• 
• 
• 

Calculate the modulus (R) and argument (θ) for z = 4 + 9i

• R = 9.05, θ = 114°

• R = 9.85, θ = 66°

• R = 97, θ = 66°

• R = 9.85, θ = 294°

Calculate the modulus (R) and argument (θ) for z = -5 + 3i

• R = 5.83, θ = 31°

• R = 34, θ = 149°

• R = 5.83, θ = 211°

• R = 5.83, θ = 149°

Calculate the modulus (R) and argument (θ) for z = -7 - 5i

• R = 8.6, θ = 144.5°

• R = 8.6, θ = 215.5°

• R = 74, θ = 35.5°

• R = 8.6 , θ = 234.5 °

Calculate the modulus (R) and argument (θ) for z = 3 - 7i

• R = √58, θ = 66.8°

• R = 7.6, θ = 246.8°

• R = √58, θ = 293.2°

• R = 7.6 , θ = 113.2 °

Let w=-√3/2 + 1/2 i calculate the modulus and argument.

• 3, 120^o
• 5, 270^o
• 1, 150^o
• Not Possible

When a complex number is drawn on the complex plane. The distance from the origin is the value of

• the argument

• The modulus

• The real co-efficient

• The imaginary co-efficient

The argument measures the angle

• clockwise from the y-axis

• anti clockwise from the y-axis

• anti clockwise from the x-axis

• clockwise from the x-axis

What is the range for the principle argument of complex number z.

Is the following statement true or false?:

The complex number represented by this Argand diagram has a negative principal argument.

• True

• False