# NCERT solution class 11 chapter 5 Complex Numbers and Quadratic Equations exercise 5.1 mathematics

## EXERCISE 5.1

#### Question 1:

Express the given complex number in the form a + ib:

#### Question 2:

Express the given complex number in the form a + ibi9 + i19

#### Question 3:

Express the given complex number in the form a + ibi–39

#### Question 4:

Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)

#### Question 5:

Express the given complex number in the form a + ib: (1 – i) – (–1 + i6)

#### Question 6:

Express the given complex number in the form a + ib:

#### Question 7:

Express the given complex number in the form a + ib:

#### Question 8:

Express the given complex number in the form a + ib:  (1 – i)4

#### Question 9:

Express the given complex number in the form a + ib:

#### Question 10:

Express the given complex number in the form a + ib:

#### Question 11:

Find the multiplicative inverse of the complex number 4 – 3i

Let z = 4 – 3i

Then,

= 4 + 3and

Therefore, the multiplicative inverse of 4 – 3i is given by

#### Question 12:

Find the multiplicative inverse of the complex number

Let z =

Therefore, the multiplicative inverse ofis given by

#### Question 13:

Find the multiplicative inverse of the complex number –i

Let z = –i

Therefore, the multiplicative inverse of –i is given by

#### Question 14:

Express the following expression in the form of a + ib.