# Lecture - 2 Chapter 5 Complex Numbers

Cartesian Coordinate System and Polar Coordinate System, Relationship between Cartesian coordinate system and polar coordinate system, Argand Diagram, Meaning of Modulus and Modulus of Complex Numbers mod(z)=|z|= r, Detailed explanation and derivation for argument of complex numbers arg(z), Polar form.

###### Clip - 1
 NCERT Exercise 5.2

Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2.

Question 1. $$z=-1-i \sqrt{3}$$

Question 2. $$z=- \sqrt{3}+i$$

Convert each of the complex numbers given in Exercises 3 to 8 in the polar form:

Question 3. $$1-i$$

Question 4. $$-1+i$$

Question 5. $$-1-i$$

Question 6. $$-3$$

Question 7. $$\sqrt{3}+i$$

Question 8. $$i$$