NTA will shortly release the JEE Main Syllabus 2025 at jeemain.nta.ac.in. Last Year, the complete syllabus of JEE Main underwent some major changes. According to the latest syllabus guidelines, the weightage of Maths has dropped to 22.5%. Due to these changes in the syllabus, certain shifts in chapter-wise weightage have been observed. Binomial theorems are among such topics. It’s among the least weightage topics in JEE Main Maths Syllabus 2025. This chapter holds 1.39% weightage in the whole syllabus.
- Binomial theorem is a part of the General Maths section, and every year around 2-3 questions are asked from this chapter. Due to the drop in weightage, you can expect 1-2 questions in JEE Main 2025.
- The binomial theorem in JEE Mains Maths Syllabus 2025 covers all the basic concepts on units and measurements, fundamentals of units, dimensions etc.
Aspirants consider binomial theorem as one of the Easiest Chapters in Maths for JEE Main 2025. Even though this chapter has the least weightage in the syllabus, to develop a strong foundation in physics, this particular chapter plays a pivotal role. Hence the candidates need to develop a clear understanding of this chapter. The list of most asked questions from this chapter will help the students with their preparation.
Must Check News on JEE Main Maths:
Some of the most asked questions about the binomial theorem for JEE Main include:
- How to expand binomial expressions
- How to find coefficients in binomial expansions
- How to use the binomial theorem for approximations
- How to solve problems involving permutations and combinations
Here are some tips for tackling complex binomial theorem problems:
- Break the problem down into smaller steps
- Use properties of binomial coefficients to simplify expressions
- Pay attention to patterns and symmetries in the coefficients
- Regularly solve challenging problems to build problem-solving skills
The binomial theorem is a fundamental algebraic concept that describes how to expand the powers of a binomial. It states that any positive integer raised to the power of the sum of two integers can be expressed as the sum of (n+1) terms.
Some important topics covered in the binomial theorem include:
- Binomial expansion
- General term in binomial expansion
- Binomial coefficients
- Properties of binomial coefficients
- Middle term in binomial expansion
- Applications of binomial theorem
- Pascal's triangle
Binomial Theorem JEE Mains Questions -
List Of Most Asked Questions With Solutions
In the (JEE) Main, the topic of Physics and Measurement often features questions that have appeared multiple times in previous years. Many questions in this section are either repeated or follow similar patterns, with only minor changes, such as different numerical values or slight modifications in wording.Certain questions have been repeated as many as five times.
Here are some of the most frequently asked and repeated questions:
Here are some JEE Mains questions related to the Binomial Theorem, along with their solutions and the years they appeared:
- What is the value of (a + b)^3?
A) a^3 + b^3
B) a^3 + 3a^2b + 3ab^2 + b^3
C) 3a^2 + 3b^2
D) a^2 + b^2
Solution: The correct answer is B) a^3 + 3a^2b + 3ab^2 + b^3. This is the expansion using the Binomial Theorem.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- Find the coefficient of x^3 in the expansion of (2 + x)^5.
A) 10
B) 40
C) 20
D) 30
Solution: The correct answer is B) 40. The coefficient can be calculated using the formula nCr * a^(n-r) * b^r.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- What is the 4th term in the expansion of (x - 2)^6?
A) -48x^3
B) 80x^3
C) 48x^3
D) 64x^3
Solution: The correct answer is B) 80x^3. Using the Binomial Theorem, the 4th term is given by nCr * (a)^(n-r) * (b)^r.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- In the expansion of (1 + x)^n, what is the coefficient of x^2?
A) n(n-1)/2
B) n
C) n^2
D) n(n+1)/2
Solution: The correct answer is A) n(n-1)/2. The coefficient of x^r in the expansion is given by nCr.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- Find the middle term in the expansion of (3x + 2)^8.
A) 630x^4
B) 1260x^4
C) 720x^4
D) 540x^4
Solution: The correct answer is B) 1260x^4. The middle term can be calculated as T((n+1)/2) where n = 8.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- Which of the following is the general term in the expansion of (a + b)^n?
A) nCr * a^(n-r) * b^r
B) nCr * a^r * b^(n-r)
C) n!/(r!(n-r)!)
D) None of the above
Solution: The correct answer is A) nCr * a^(n-r) * b^r. This is the formula for the general term.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- What is the value of (x + y + z)^2?
A) x^2 + y^2 + z^2
B) x^2 + y^2 + z^2 + 2xy + 2yz + 2zx
C) 2(x^2 + y^2 + z^2)
D) None of the above
Solution: The correct answer is B) x^2 + y^2 + z^2 + 2xy + 2yz + 2zx. This is the expansion for a trinomial.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- In how many ways can the letters of the word 'MATH' be arranged?
A) 12
B) 24
C) 20
D) 16
Solution: The correct answer is B) 24. The number of arrangements of 'MATH' (4 distinct letters) is 4! = 24.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- Find the coefficient of x^5 in the expansion of (2x - 3)^7.
A) -2520
B) 2520
C) -210
D) 210
Solution: The correct answer is A) -2520. The coefficient can be calculated using the binomial formula.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
- If (x + y)^n = ΣnCr * x^(n-r) * y^r, what does n represent?
A) Exponent
B) Coefficient
C) Term
D) None of the above
Solution: The correct answer is A) Exponent. In the binomial expansion, n is the exponent.
This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024.
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