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

Here, Below you all know about NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.1 Question Answer. I know many of you confuse about finding Chapter 5 Complex Numbers and Quadratic Equations Ex 5.1 Of Class 11 NCERT Solutions. So, Read the full post below and get your solutions.

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

NCERT TEXTBOOK EXERCISES

Ex 5.1 Class 11 Maths Question 1. $\left( 5i \right) \left( -\frac { 3 }{ 5 } i \right)$

Solution.

$\left( 5i \right) \left( -\frac { 3 }{ 5 } i \right)$
= -3i2 = -3(-1)                    [∵ i2 = -1]
= 3 = 3 + 0i

Ex 5.1 Class 11 Maths Question 2. i9+ i19

Solution.

Ex 5.1 Class 11 Maths Question 3. i-39

Solution.

Ex 5.1 Class 11 Maths Question 4. 3(7 + i7) + i(7 + i7)

Solution.

3(7 + i7) + i(7 + i7) = 21 + 21i + 7i + 7i2
= 21 + (21 + 7)i + (-1)7 = 21 – 7 + 28i
= 14 + 28i.

Ex 5.1 Class 11 Maths Question 5. (1 – i) – (- 1 +i6)

Solution.

(1 – i) – (-1 + i6) = 1 – i + 1 – 6i
= (1 +1) – i(1 + 6)
= 2 – 7i

Ex 5.1 Class 11 Maths Question 6. $\left( \frac { 1 }{ 5 } +i\frac { 2 }{ 5 } \right) -\left( 4+i\frac { 5 }{ 2 } \right)$

Solution.

Ex 5.1 Class 11 Maths Question 7. $\left[ \left( \frac { 1 }{ 3 } +i\frac { 7 }{ 3 } \right) +\left( 4+i\frac { 1 }{ 3 } \right) \right] -\left( -\frac { 4 }{ 3 } +i \right)$

Solution.

Ex 5.1 Class 11 Maths Question 8. (1 -i)4

Solution.

(1 -i)4 = [(1 – i)2]2 = [1 – 2i + i2]2
= [1 – 2i + (-1)]2
= (-2i)2 = 4i2 = 4(-1) = – 4
= – 4 + 0i

Ex 5.1 Class 11 Maths Question 9. ${ \left( \frac { 1 }{ 3 } +3i \right) }^{ 3 }$

Solution.

Ex 5.1 Class 11 Maths Question 10. ${ \left( -2-\frac { 1 }{ 3 } i \right) }^{ 3 }$

Solution.

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13.
Ex 5.1 Class 11 Maths Question 11. 4 – 3i

Solution.

Ex 5.1 Class 11 Maths Question 12. √5+3i

Solution.

Ex 5.1 Class 11 Maths Question 13. -i

Solution.

Ex 5.1 Class 11 Maths Question 14. Express the following expression in the form of a + ib:
$\frac { \left( 3+i\sqrt { 5 } \right) \left( 3-i\sqrt { 5 } \right) }{ \left( \sqrt { 3 } +\sqrt { 2 } i \right) -\left( \sqrt { 3 } -i\sqrt { 2 } \right) }$

Solution.

We have, $\frac { \left( 3+i\sqrt { 5 } \right) \left( 3-i\sqrt { 5 } \right) }{ \left( \sqrt { 3 } +\sqrt { 2 } i \right) -\left( \sqrt { 3 } -i\sqrt { 2 } \right) }$

## NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1 PDF

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