# RD Sharma Solution Class 11 Mathematics Chapter 18 Binomial Theorem

## Chapter 18 – Binomial Theorem Exercise Ex. 18.1

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Question 29

Solution 29

Question 30

Solution 30

Question 31

Solution 31

Question 32

Solution 32

Question 33

Show that 24n + 4 – 15n – 16, where n Î N is divisible
by 225.

Solution 33

## Chapter 18 – Binomial Theorem Exercise Ex. 18.2

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Find the coefficient of x in the expansion of

(1 – 3x + 7x2)
(1 – x)16.

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Question 29

Solution 29

Question 30

Solution 30

Question 31

Solution 31

Question 32

Solution 32

Question 33

Solution 33

Question 34

Solution 34

Question 35

Find
the middle term (s) in expansion of:

Solution 35

Question 36

Find
the middle term (s) in expansion of:

Solution 36

Question 37

Find
the middle term (s) in expansion of:

Solution 37

Question 38

Solution 38

Question 39

Solution 39

Question 40

Solution 40

Question 41

Solution 41

Question 42

Solution 42

Question 43

Solution 43

Question 44

Solution 44

Question 45

Solution 45

Question 46

Solution 46

Question 47

Solution 47

Question 48

Solution 48

Question 49

Solution 49

Question 50

Solution 50

Question 51

Solution 51

Question 52

Solution 52

Question 53

Solution 53

Question 54

Solution 54

Question 55

Solution 55

Question 56

Solution 56

Question 57

Solution 57

Question 58

Solution 58

Question 59

Solution 59

Question 60

Solution 60

Question 61

Solution 61

Question 62

Solution 62

Question 63

Solution 63

Question 64

Solution 64

Question 65

Solution 65

Question 66

Solution 66

Question 67

Solution 67

Question 68

Solution 68

Question 69

Solution 69

Question 70

If the seventh term from the beginning and end in the
binomial expansion of  are equal,
find n.

Solution 70

## Chapter 18 – Binomial Theorem Exercise Ex. 18VSAQ

Question 1

Write the number of terms
in the expansion of .

Solution 1

Question 2

Write the sum of
coefficients in the expansion of (1 – 3x + x2)111.

Solution 2

Question 3

Write the number of terms
in the expansion of

(1 – 3x + 3x2 – x3)8.

Solution 3

Question 4

Write the middle term in
the expansion of

Solution 4

Question 5

Which term is independent
of x, in the expansion of

Solution 5

Question 6

If a and b denote
respectively the coefficient of xm and xn in the expansion of (1 + x)m+n , then write the relation between a and b.

Solution 6

Question 7

IF a and b are
coefficients of xn in the expansion of
(1 + x)2n and (1 + x)2n-1 respectively, then write the
relation between a and b.

Solution 7

Question 8

Write the middle term in
the expansion of

Solution 8

Question 9

If a and b denote the sum
of the coefficients in the expansion of (1 – 3x + 10x2)n
and (1 + x2)n respectively, then write the relation
between a and b.

Solution 9

Question 10

Write the coefficient of
the middle term in the expansion of (1 + x)2n.

Solution 10

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