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### Part - 1

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.

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### Part - 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