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Mathematics - Binomial Theorem

Practise 17 VITEEE previous year questions on Binomial Theorem, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Binomial Theorem has been asked in 10 of the 18 years of VITEEE papers analysed (2006–2024), with 17 questions in all. 29% of them were easy, 53% moderate and 18% tough. Most of its questions came from 2024, with 3 questions that year. In the last three years (2022–2024) it had 3 questions across 1 paper, about 3 per paper.

The chapter's 6 topics are not weighted equally: Terms of Binomial Expansion (7 questions, 41%), Properties of Binomial Coefficients (3 questions, 18%), and Series involving Product of Coefficients (3 questions, 18%) have been asked the most. Over the last five years the most frequent topics have been Properties of Binomial Coefficients (3). Integral and Fractional Part of a Number has produced the most tough questions (1).

  1. 1If the coefficient of and in the expansion of in the power of are equal, then is2024Properties of Binomial Coefficients
  2. 2If the coefficients of and in the expansion of are equal, then value of is2024Properties of Binomial Coefficients
  3. 3Coefficient of in the expansion of is equal to2024Properties of Binomial Coefficients
  4. 4If the second term in the expansion is , then2019Terms of Binomial Expansion
  5. 5The sum of the series terms is2013Series involving Product of Coefficients
  6. 6In the expansion of , the coefficient of is2013Series involving Product of Coefficients
  7. 7The coefficient of in the following expansions is2012Terms of Binomial Expansion
  8. 8The sum of the series is2012Sum of Series
  9. 9The coefficient of in the expansion of is2012Series involving Product of Coefficients
  10. 10The sum of the coefficients of , where is a positive integer, is2011Sum of Series
  11. 11Find the value of correct to four decimal places.2011Integral and Fractional Part of a Number
  12. 12If , then can be equal to2010Terms of Binomial Expansion
  13. 13If and are three points. Then, the angle between and is2010Terms of Binomial Expansion
  14. 14If is numerically so small so that and higher powers of can be neglected, then is approximately equal to2009Remainder and Divisibility Problems
  15. 15Let S be a finite set containing elements. Then the total number of commutative binary operation on is2008Terms of Binomial Expansion
  16. 16If is the angle between the lines and where and are the three points with coordinates respectively, then is equal to2007Terms of Binomial Expansion
  17. 17If in a triangle , and then is equal to2006Terms of Binomial Expansion

Frequently Asked Questions

1.How many questions are available for Binomial Theorem?

This chapter includes 17 questions compiled from VITEEE papers spanning 2006 to 2024.

2.Are these questions only from VITEEE, or from other exams too?

These are VITEEE questions specifically for the Binomial Theorem chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Binomial Theorem an important chapter for VITEEE Mathematics?

Binomial Theorem has appeared in 10 of the 18 years of VITEEE papers covered here, with 17 questions across 10 papers - about 2 per paper it appears in.

4.What is the difficulty level of Binomial Theorem questions in VITEEE?

Of the 17 questions analysed for this chapter, 29% are easy, 53% moderate and 18% tough. 2024 had the most, with 3 questions.

5.Which topics in Binomial Theorem should I focus on?

These topics have carried the most weightage in Binomial Theorem:

  • Terms of Binomial Expansion - 7 questions (41%)
  • Properties of Binomial Coefficients - 3 questions (18%)
  • Series involving Product of Coefficients - 3 questions (18%)
  • Integral and Fractional Part of a Number has produced the most tough questions (1).
6.Is Binomial Theorem's weightage in VITEEE going up or down?

Across all 10 papers analysed, Binomial Theorem has averaged about 1.7 questions per paper. In the last three years (2022–2024), that average has risen, at about 3.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.