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.

 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