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Q10 Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000. Ans: Our experts will give the answer soon.
Chapter 8 Bionomial Theorem
An algebraic expression containing two terms and connected by (+) & (-) operation is called binomial. When small positive powers are raised to a binomial it can be solved manually. For higher powers it becomes very difficult to solve. But the binomial theorem helps to solve expressions which have large powers. It has many applications like in permutation and combination, probability, etc. The topics which are included in this chapter - proof of binomial theorem for positive integral indices, Pascal's triangle, general and middle term in binomial expansion and its applications.
Download pdf of NCERT Solutions for Class Mathematics Chapter 8 Bionomial Theorem
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Exercise 1
Popular Questions of Class 11 Mathematics
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
- Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Recently Viewed Questions of Class 11 Mathematics
- Q:- Find the sum to n terms of the A.P., whose kth term is 5k + 1.
- Q:-
Find the sum to n terms in the geometric progression x3, x5, x7 ... (if x ≠ ±1)
- Q:-
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?
- Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:-
The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.
- Q:-
One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.
- Q:- Write the first five terms of the sequences whose nth term is \begin{align} a_n = \frac {n}{n+1}\end{align}
- Q:-
If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.
- Q:- If the sum of a certain number of terms of the A.P. 25, 22, 19, … is 116. Find the last term
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