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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.
Bionomial Theorem Question Answers: NCERT Class 11 Mathematics
Welcome to the Chapter 8 - Bionomial Theorem, Class 11 Mathematics - NCERT Solutions page. Here, we provide detailed question answers for Chapter 8 - Bionomial Theorem.The page is designed to help students gain a thorough understanding of the concepts related to natural resources, their classification, and sustainable development.
Our solutions explain each answer in a simple and comprehensive way, making it easier for students to grasp key topics and excel in their exams. By going through these Bionomial Theorem question answers, you can strengthen your foundation and improve your performance in Class 11 Mathematics. Whether you're revising or preparing for tests, this chapter-wise guide will serve as an invaluable resource.
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 - Chapter 8 Bionomial Theorem - Class 11 Mathematics
Download PDF - NCERT Examplar Solutions - Chapter 8 Bionomial Theorem - Class 11 Mathematics
Exercise 1
Key Features of NCERT Class 11 Mathematics Chapter 'Bionomial Theorem' question answers :
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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 of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.
- Q:- In an A.P., if pth term is \begin{align} \frac{1}{q} \; and \;qth\; term \; is\; \frac{1}{p}\end{align} , prove that the sum of first pq terms is \begin{align} \frac{1}{2}(pq+1) \; where \; p ≠ q \end{align}
- Q:-
A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
- Q:-
Find four numbers forming a geometric progression in which third term is greater than the first term by 9, and the second term is greater than the 4th by 18.
- Q:- Write the following sets in the set-builder form:
(i) (3, 6, 9, 12)
(ii) {2, 4, 8, 16, 32}
(iii) {5, 25, 125, 625}
(iv) {2, 4, 6 upto infinity}
(v) {1, 4, 9, upto 100} - Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
- Q:-
How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
- Q:-
Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are
(i) mutually exclusive? (ii) simple? (iii) compound?
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