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Important Questions with Solutions for CBSE Class 11 Maths Chapter 7 - Binomial Theorem

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CBSE Class 11 Maths Chapter-7 Important Questions - Free PDF Download

Free PDF download of Important Questions with solutions for CBSE Class 11 Maths Chapter 7 - Binomial Theorem prepared by expert Maths teachers from latest edition of CBSE(NCERT) books. Register online for Maths tuition on Vedantu.com to score more marks in your Examination.


Download CBSE Class 11 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 11 Maths Important Questions for other chapters:

CBSE Class 11 Maths Important Questions

Sl.No

Chapter No

Chapter Name

1

Chapter 1

Sets

2

Chapter 2

Relations and Functions

3

Chapter 3

Trigonometric Functions

4

Chapter 4

Principle of Mathematical Induction

5

Chapter 5

Complex Numbers and Quadratic Equations

6

Chapter 6

Linear Inequalities

7

Chapter 7

Permutations and Combinations

8

Chapter 8

Binomial Theorem

9

Chapter 9

Sequences and Series

10

Chapter 10

Straight Lines

11

Chapter 11

Conic Sections

12

Chapter 12

Introduction to Three Dimensional Geometry

13

Chapter 13

Limits and Derivatives

14

Chapter 14

Mathematical Reasoning

15

Chapter 15

Statistics

16

Chapter 16

Probability

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Practice Questions of Binomial Theorem Class 11

  1. Find the number of terms and the middle term of the following expression:
    (x/3 + 9y)10.

  2. Show that 6n - 5n always leaves remainder 1 when divided by 25, using the binomial theorem.

  3. Find (x + y)4 - (x - y)4 and then evaluate (√5 + √6)4 - (√5 - √6)4.

  4. Find the coefficient of m5 in (m + 3)8.

  5. Expand: (x + 1⁄x)6

  6. Find the middle terms in the expansions of (3 - a3⁄6)7

  7. Find the middle term of (2x - x2⁄4)9.

  8. Expand: (x⁄3 + 1⁄x)5

  9. In the expansion of (1 + p)q+r, prove that coefficients of pq and pr are equal.

  10. Find the term which is independent of x in the expansion of (3⁄2 x2 - 1⁄3x)6.

 

Conclusion

Now that you have learned a lot about the binomial theorem, we recommend that you keep on practicing if you want to master the topic. You can also refer to various other study materials on binomial theorem from our website. So, download the free PDFs, keep practicing and enjoy your learning!


Important Related Links for CBSE Class 11 

FAQs on Important Questions with Solutions for CBSE Class 11 Maths Chapter 7 - Binomial Theorem

1. Define binomial theorem in Chapter 7 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 7 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 7 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 7.1 of Chapter 7 of Class 11th Maths?

The questions in Exercise 7.1 of Chapter 7 of Class 11th Maths are as follows -

  1. Expand the expression (1-2x)5

  2. Expand the expression (2/x-x/2)5

  3. Expand the expression (1-2x)6

  4. Expand the expression (x/3+1/x)5

  5. Expand (x+1/x)6

  6. Evaluate using binomial theorem (96)3

  7. Evaluate using binomial theorem (102)5, (101)4, (99)5

  8. Indicate the larger number in this (1.1)10000 or 1000

  9. Find (a + b)4

  10. Evaluate (√3 + √2)4 - (√3 - √2)4 finding (a + b)4 - (a - b)4 

  11. Find (x + 1)6 + (x – 1)6 and evaluate (√2 + 1)6- (√2 - 1)6

  12. How can you show that 9n +1 – 8n – 9 is divisible by 64km, where k is some natural number?

  13. 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 7.2 of Chapter 7 of Class 11th Maths?

Exercise 7.2 of Chapter 7 of Class 11th Maths consists of the following questions -

  1. Find the coefficient of  xn (x=3)8, a2b2 in9a-2b)12

  2. Write the general term in the expansion of (x2-y)6, (x2-yx)2, x is not equal to 0

  3. What is the value of the 4th term in the expansion of (x-2y)12

  4. What is the 13th term in the expansion of(9x-1/3√x)18, x is not equal to zero. 

  5. What is the value of the  middle term in the expansion of (3-x33/6)7, (x/3+9y)10

  6. 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.

  7. 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 7 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.