## NCERT Solutions for Class 11 Maths Chapter 5 – Complex Numbers and Quadratic Equations Ex 5.1

#### Page No 103:

#### Question 1:

Express the given complex number in the form

*a*+*ib*:#### Answer:

#### Question 2:

Express the given complex number in the form

*a*+*ib*:*i*^{9}+*i*^{19}#### Answer:

#### Question 3:

Express the given complex number in the form

*a*+*ib*:*i*^{–39}#### Answer:

#### Page No 104:

#### Question 4:

Express the given complex number in the form

*a*+*ib*: 3(7 +*i*7) +*i*(7 +*i*7)#### Answer:

#### Question 5:

Express the given complex number in the form

*a*+*ib*: (1 –*i*) – (–1 +*i*6)#### Answer:

#### Question 6:

Express the given complex number in the form

*a*+*ib*:#### Answer:

#### Question 7:

Express the given complex number in the form

*a*+*ib*:#### Answer:

#### Question 8:

Express the given complex number in the form

*a*+*ib*: (1 –*i*)^{4}#### Answer:

#### Question 9:

Express the given complex number in the form

*a*+*ib*:#### Answer:

#### Question 10:

Express the given complex number in the form

*a*+*ib*:#### Answer:

#### Question 11:

Find the multiplicative inverse of the complex number 4 – 3

*i*#### Answer:

Let

*z*= 4 – 3*i*
Then,

= 4 + 3

*i*and
Therefore, the multiplicative inverse of 4 – 3

*i*is given by#### Question 12:

Find the multiplicative inverse of the complex number

#### Answer:

Let

*z*=
Therefore, the multiplicative inverse ofis given by

#### Question 13:

Find the multiplicative inverse of the complex number –

*i*#### Answer:

Let

*z*= –*i*
Therefore, the multiplicative inverse of –

*i*is given by#### Question 14:

Express the following expression in the form of

*a*+*ib*.#### Answer:

_{}

^{}