Representing complex numbers

• Not Possible

Consider the complex number in the graph. Given that the argument must be between -π < θ < π, what can you say about the argument, θ?

• θ is negative and -π < θ < -π/2

• θ is negative and -π/2 < θ < 0

• θ is positive and π/2 < θ < π

• θ is positive and 0 < θ < π/2

Answer explanation

• 2

• 3

• 5

• 7

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

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

Consider the complex number in the graph. Given that the argument must be between -π < θ < π, what can you say about the argument, θ?

• θ is negative and -π < θ < -π/2

• θ is negative and -π/2 < θ < 0

• θ is positive and π/2 < θ < π

• θ is positive and 0 < θ < π/2

Answer explanation

Find the absolute value of the complex number.
2 + 3i

• √13
• √5
• √11
• √11