Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Argand Diagrams

Q1:

Given that points 𝐴 and 𝐡 represent the complex numbers 𝑍 and 𝑍 on an Argand diagram, then 𝐡 is the image of 𝐴 under which transformation?

  • A reflection in the origin point
  • B reflection in the 𝑦 -axis
  • C reflection in the π‘₯ -axis

Q2:

What is the real part of the complex number shown?

Q3:

In which quadrant of the Argand diagram does the complex number 3 βˆ’ 2 𝑖 lie?

  • A second
  • B third
  • C first
  • D fourth

Q4:

What is the imaginary part of the complex number shown?

  • A2
  • B βˆ’ 2
  • C4
  • D βˆ’ 4
  • E 2 √ 5

Q5:

In which quadrant of the Argand diagram does the complex number √ 7 ο€Ό ο€Ό βˆ’ 3 πœ‹ 4  + 𝑖 ο€Ό βˆ’ 3 πœ‹ 4   c o s s i n lie?

  • A second
  • B fourth
  • C first
  • D third

Q6:

In which quadrant of the Argand plane does the complex number 7 + 9 𝑖 3 βˆ’ 4 𝑖 lie?

  • Athe third quadrant
  • Bthe first quadrant
  • Cthe fourth quadrant
  • Dthe second quadrant