CBSE Class 11 Maths Chapter-8 Important Questions - Free PDF Download
FAQs on Important Questions with Solutions for CBSE Class 11 Maths Chapter 8 - Binomial Theorem
1. Define binomial theorem in Chapter 8 of Class 11th Maths?
A binomial theorem is the algebraically expanded power of the sums of two or more binomials. The concept is to be clearly understood to solve the sums in the chapter. Maths is a subject to be studied with logical thinking. The practice of solving numerical problems every day should be your daily routine if you want to master the subject. The Vedantu Important Questions PDF has the questions that may be asked in the exam. Practising these will develop your logical thinking ability which is very important in mathematics.
2. How many exercises are there in the Chapter 8 of Class 11th Maths?
There are two exercises and other miscellaneous exercises in this chapter. These exercises have to be practised by solving each one using proper steps and coming to the final answer. This practice will help you to follow the same procedure during the exams. You can also compare your answers with the NCERT solutions and know the accuracy of the steps performed. Remember only a thorough practice will help you to score well in Maths. To know more and refer to the solutions of this topic, check out Chapter 8 of Class 11th Maths provided by Vedantu. The notes and solutions are present on Vedantu's official website (vedantu.com) and mobile app for free of cost.
3. How many questions are there in Exercise 8.1 of Chapter 8 of Class 11th Maths?
The questions in Exercise 8.1 of Chapter 8 of Class 11th Maths are as follows -
Expand the expression (1-2x)5
Expand the expression (2/x-x/2)5
Expand the expression (1-2x)6
Expand the expression (x/3+1/x)5
Expand (x+1/x)6
Evaluate using binomial theorem (96)3
Evaluate using binomial theorem (102)5, (101)4, (99)5
Indicate the larger number in this (1.1)10000 or 1000
Find (a + b)4
Evaluate (√3 + √2)4 - (√3 - √2)4 finding (a + b)4 - (a - b)4
Find (x + 1)6 + (x – 1)6 and evaluate (√2 + 1)6- (√2 - 1)6
How can you show that 9n +1 – 8n – 9 is divisible by 64km, where k is some natural number?
Prove that Σ3n c=4nn.
These questions must be solved independently to get a thorough practice of the variety of problems.
4. How many questions are there in Exercise 8.2 of Chapter 8 of Class 11th Maths?
Exercise 8.2 of Chapter 8 of Class 11th Maths consists of the following questions -
Find the coefficient of xn (x=3)8, a2b2 in9a-2b)12
Write the general term in the expansion of (x2-y)6, (x2-yx)2, x is not equal to 0
What is the value of the 4th term in the expansion of (x-2y)12
What is the 13th term in the expansion of(9x-1/3√x)18, x is not equal to zero.
What is the value of the middle term in the expansion of (3-x33/6)7, (x/3+9y)10
Given the expression of (1+a)m + n, prove that coefficients of a to the power of m and a to the power of n are equal.
The coefficient of x22 in the expansion (1+x)m is 6. Find the positive value.
The practice of these questions will give the proper grasp of the variety of the problems and help the development in thinking logically.
5. How did the Binomial theorem originate and what are the applications of the binomial theorem in Chapter 8 of Class 11th Maths?
The binomial theorem is known to the world from the fourth century BC. This is when the Greek mathematician Euclid used the binomial theorem for the exponent having the value two. However, the usage of the value three was in the sixth century in India. The Binomial theorem's application is to find the reminder, to find the digit of a number, test of divisibility and the comparisons of the number. Students can learn more about this from Vedantu’s Important Questions.