Chapter 5 – Complex Numbers and Quadratic Equations (Ex – 5.2)

Complex Numbers and Quadratic Equations (Ex – 5.2)

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

Question 1.

Solution.

Question 2.

Solution.
We have,

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

Question 3.
1 – i

Solution.
We have, z = 1 – i

Question 4.
-1 + i

Solution.
We have, z = -1 + i

Question 5.
-1 – i

Solution.
We have, z = -1 – i

Question 6.
-3

Solution.
We have, z = -3, i.e., z = -3 + 0i

Question 7.

Solution.
We have,

Question 8.
i

Solution.
We have, z = i, i.e., z = 0 + 1.i