RD SHARMA Solutions for Class 11-science Maths Chapter 18 - Binomial Theorem
Page / Exercise
Chapter 18 - Binomial Theorem Exercise Ex. 18.1
Question 1(i)
Solution 1(i)
Question 1(ii)
Solution 1(ii)
Question 1(iii)
Solution 1(iii)
Question 1(iv)
Solution 1(iv)
Question 1(v)
Solution 1(v)
Question 1(vi)
Solution 1(vi)
Question 1(vii)
Solution 1(vii)
Question 1(viii)
Solution 1(viii)
Question 1(ix)
Solution 1(ix)
Question 1(x)
Solution 1(x)
Question 2(i)
Solution 2(i)
Question 2(ii)
Solution 2(ii)
Question 2(iii)
Solution 2(iii)
Question 2(iv)
Solution 2(iv)
Question 2(v)
Solution 2(v)
Question 2(vi)
Solution 2(vi)
Question 2(vii)
Solution 2(vii)
Question 2(viii)
Solution 2(viii)
Question 2(ix)
Solution 2(ix)
Question 2(x)
Solution 2(x)
Question 3
Solution 3
Question 4
Solution 4
Question 5(i)
Solution 5(i)
Question 5(ii)
Solution 5(ii)
Question 5(iii)
Solution 5(iii)
Question 5(iv)
Solution 5(iv)
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
Show that 24n + 4 - 15n - 16, where n Î N is divisible by 225.
Solution 12
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(i)
Solution 9(i)
Question 9(ii)
Solution 9(ii)
Question 9(iii)
Solution 9(iii)
Question 9(iv)
Solution 9(iv)
Question 9(v)
Solution 9(v)
Question 9(vi)
Solution 9(vi)
Question 9(vii)
Solution 9(vii)
Question 9(viii)
Find the coefficient of x in the expansion of
(1 - 3x + 7x2) (1 - x)16.
Solution 9(viii)
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13(i)
Solution 13(i)
Question 13(ii)
Solution 13(ii)
Question 13(iii)
Solution 13(iii)
Question 13(iv)
Solution 13(iv)
Question 14(i)
Solution 14(i)
Question 14(ii)
Solution 14(ii)
Question 14(iii)
Solution 14(iii)
Question 14(iv)
Solution 14(iv)
Question 15(i)
Solution 15(i)
Question 15(ii)
Solution 15(ii)
Question 15(iii)
Solution 15(iii)
Question 15(iv)
Solution 15(iv)
Question 15(v)
Solution 15(v)
Question 15(vi)
Solution 15(vi)
Question 15(vii)
Solution 15(vii)
Question 15(viii)
Find the middle term (s) in expansion of:
Solution 15(viii)
Question 15(ix)
Find the middle term (s) in expansion of:
Solution 15(ix)
Question 15(x)
Find the middle term (s) in expansion of:
Solution 15(x)
Question 16(i)
Solution 16(i)
Question 16(ii)
Solution 16(ii)
Question 16(iii)
Solution 16(iii)
Question 16(iv)
Solution 16(iv)
Question 16(v)
Solution 16(v)
Question 16(vi)
Solution 16(vi)
Question 16(vii)
Solution 16(vii)
Question 16(viii)
Solution 16(viii)
Question 16(ix)
Solution 16(ix)
Question 16(x)
Solution 16(x)
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
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
If the seventh term from the beginning and end in the
binomial expansion of 
are equal,
find n.
Solution 39
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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