T&T6: Ex3.4 Argand Diagram & Modulus

What complex number is represented by the graph?

• -3-i
• -3+i
• 1+3i
• 1-3i

Tags

CCSS.HSN.CN.B.4

 $\left|3-2i\right|=\ ----$  

•  $\sqrt{-13}$  

•  $\sqrt{-1}$  

•  $\sqrt{13}$  

•  $5$  

 Find modulus of z: 

 $z=1+3i$ 

•  $\sqrt{10}$  

•  $9-i$  

•  $\sqrt{7}$  

•  $4$  

Find modulus of z:

 $z=\frac{1}{\sqrt{3}-i}$  

•  $1$  

•  $-1$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{3}$  

Determine the value of  $Z_1$  

•  $3-6i$  

•  $6-3i$  

•  $6+3i$  

•  $3+6i$  

Tags

CCSS.HSN.CN.B.4

Calculate the value of modulus for  $-4+3i$  

•  $-5$  

•  $5$  

•  $5i$  

•  $-5i$  

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

• 
• 
• 
• 

Which of the points shows the conjugate of z₄?

• z₁
• z₂
• z₃
• z₅

Tags

CCSS.HSN.CN.A.3

Write the complex number shown in the graph.

(a)  

 $If\ Z=\frac{3+\sqrt{-1}}{2-\sqrt{-1}},\ modulus\ and\ conjugate\ of\ Z\ are$  

•  $1+i\ and\ \sqrt{2}$  

•  $2i\ and\ \sqrt{2}$  

•  $1-i\ and\ \sqrt{2}$  

•  $2\ and\ 2$