Expand the expression (1- 2x)5
Answer :
By using Binomial Theorem, the expression (1– 2x)5 can be expanded as
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Expand the expression
Answer :
By using Binomial Theorem, the expression
can be
expanded as
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Expand the expression (2x - 3)6
Answer :
Expand the expression
Answer :
Using Binomial Theorem, evaluate (96)3
Answer :
Using Binomial Theorem, evaluate (102)5
Answer :
Using Binomial Theorem, evaluate (101)4
Answer :
Using Binomial Theorem, evaluate (99)5
Answer :
Using Binomial Theorem, indicate which number is larger (1.1)10000or 1000.
Answer :
Find (a +
b)4–
(a–
b)4.
Hence, evaluate.
Answer :
Find (x+
1)6+
(x –
1)6. Hence or otherwise
evaluate.
Answer :
Show that is divisible by 64,
whenever nis a positive
integer.
Answer :
Find the coefficient of x5in (x + 3)8
Answer :
Find the coefficient of a5b7in (a - 2b)12
Answer :
Write the general term in the expansion of (x2- y)6
Answer :
Write the general term in the expansion of (x2- yx)12, x ≠0
Answer :
Find the 4thterm in the expansion of (x- 2y)12 .
Answer :
Find the 13thterm in
the expansion of.
Answer :
Find the middle terms in the expansions of
Answer :
Find the middle terms in the expansions of
Answer :
In the expansion of (1 + a)m + n, prove that coefficients of amand anare equal.
Answer :
The coefficients of the (r- 1)th, rthand (r + 1)thterms in the expansion of
(x+ 1)nare in the ratio 1:3:5. Find nand r.
Answer :
Prove that the coefficient of xnin the expansion of (1 + x)2nis twice the coefficient of xnin the expansion of (1 + x)2n-1 .
Answer :
Find a positive value of mfor which the coefficient of x2in the expansion
(1 + x)mis 6.
Answer :
Find a, band n in the expansion of (a+ b)nif the first three terms of the expansion are 729, 7290 and 30375, respectively.
Answer :
Find aif the coefficients of x2and x3in the expansion of (3 + ax)9are equal.
Answer :
Find the coefficient of x5in the product (1 + 2x)6(1 - x)7using binomial theorem.
Answer :
If a and b are distinct integers, prove that a - b is a factor of an - bn, whenever n is a positive integer.
[Hint: write an = (a - b + b)n and expand]
Answer :
Find the value of.
Answer :
Find an approximation of (0.99)5using the first three terms of its expansion.
Answer :
Find n, if the ratio of
the fifth term from the beginning to the fifth term from the end
in the expansion of
Answer :
Expand using Binomial Theorem.
Answer :
Find the expansion of using binomial
theorem.
Answer :
Maths - Maths : CBSE NCERT Exercise Solutions for Class 11th for Binomial Theorem ( Exercise 8.1, 8.2, miscellaneous ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.
Exercise 8.1 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Question 13 |
Question 14 |
Exercise 8.2 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Exercise Miscellaneous |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |