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RD Sharma Solution Class 11 Mathematics Chapter 13 Complex Numbers

Chapter 13 – Complex Numbers Exercise Ex. 13.1

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 16

Find the values of the following expressions:

(1 + i)6 + (1 – i)3

Solution 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Chapter 13 – Complex Numbers Exercise Ex. 13.2

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 17

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 17

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 20

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 20

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 21

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 21

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 22

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 22

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 23

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 23

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 24

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 24

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 25

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 25

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 26

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 26

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 27

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 27

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 28

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 28

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers
Question 29

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 29

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 30

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 30

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 31

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 31

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 32

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 32

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 33

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 33

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 34

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 34

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 35

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 35

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 36

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 36

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 37

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 37

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 38

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 38

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 39

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 39

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 40

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 40

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 41

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 41

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 42

Evaluate the following :

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers 

Solution 42

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 43

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 43

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 44

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 44

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 45

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 45

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 46

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 46

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 47

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 47

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 48

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 48

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 49

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 49

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 50

What is the smallest positive integer n for which

(1+i)2n = (1-i)2n?

Solution 50

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 51

If z1, z2, z3 are
complex numbers such that |z1| = |z2| = |z3|
= Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers = 1, then
find the value of |z1 + z2 + z3|.

Solution 51

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 52

Find the number of solutions of z2 + |z|2
= 0

Solution 52

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Chapter 13 – Complex Numbers Exercise Ex. 13.3

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 9

Find the square root of the following complex numbers: -i

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Chapter 13 – Complex Numbers Exercise Ex. 13.4

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 9

Write (i25)3 in polar form.

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 10

Express the following complex numbers in the form

 r(cos q + I sin q): 1 + i tan a

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 11

Express the following complex numbers in the form

 r(cos q + I sin q): tan ai

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 12

Express the following complex numbers in the form

r (cos q + I sin q): 1 – sin a + i cos a

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 13

Express the following complex numbers in the form

 r (cos q + I sin q):Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Chapter 13 – Complex Numbers Exercise Ex. 13VSAQ

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - Complex Numbers

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