JEE Mathematics
General Term: JEE Questions & Solutions
15 previous-year JEE Mathematics questions on General Term, each with a worked step-by-step solution.
Previous-year questions
- 01In the expansion of ( 3-root √2 + 1/(3-root √3))ⁿ, n ∈ ℕ, if the ratio of 15^th term from the beginning to the 15^th term from the end is…MCQMediumJEE 2025
- 02The number of integral terms in the expansion of (7^(1/2) + 11^(1/6))⁸²⁴ is equal to.NVAMediumJEE 2024
- 03Let m and n be the coefficients of the seventh and thirteenth terms respectively in the expansion of (1/3x^(1/3) + 1/2x^(2/3))¹⁸. Then…MCQMediumJEE 2024
- 04The sum of the coefficients of x^(2/3) and x^(-2/5) in the binomial expansion of (x^(2/3) + 1/2x^(2/5))⁹ is:MCQMediumJEE 2024
- 05If a_r is the coefficient of x^(10-r) in the binomial expansion of (1 + x)¹⁰, then Σ_(r=1)¹⁰ r³ ( a_r/a_(r-1))² is equal to:MCQMediumJEE 2023
- 06If the coefficient of x⁹ in ( α x³ + 1/(β x))¹¹ and the coefficient of x⁻⁹ in ( α x - 1/(β x³))¹¹ are equal, then (αβ)² is equal to:MCQMediumJEE 2023
- 07If the coefficient of x¹⁵ in the expansion of (ax³ + 1/bx^(1/3))¹⁵ is equal to the coefficient of x⁻¹⁵ in the expansion of (ax^(1/3) -…MCQMediumJEE 2023
- 08If the constant term in the binomial expansion of ( x^(5/2)/2 - 4/x^ℓ)⁹ is -84 and the coefficient of x^(-3ℓ) is 2^αβ, where β < 0 is an…NVAMediumJEE 2023
- 09If the term without x in the expansion of ( x^(2/3) + α/x³)²² is 7315, then |α| is equal to.NVAMediumJEE 2023
- 10The coefficient of x¹⁸ in the expansion of (x⁴ - 1/x³)¹⁵ is:NVAEasyJEE 2023
- 11If the coefficients of x⁷ in (ax² + 1/2bx)¹¹ and of x⁻⁷ in (ax - 1/3bx²)¹¹ are equal, then:MCQMediumJEE 2023
- 12Let [t] denote the greatest integer ≤ t. If the constant term in the expansion of (3x² - 1/2x⁵)⁷ is α, then [α] is equal to:NVAMediumJEE 2023
- 13If the coefficient of x⁷ in (ax - 1 / bx²)¹³ and the coefficient of x⁻⁵ in (ax + 1 / bx²)¹³ are equal, then a⁴b⁴ is equal to:MCQMediumJEE 2023
- 14If the 1011^th term from the end in the binomial expansion of (4x/5 - 5/2x)²⁰²² is 1024 times the 1011^th term from the beginning, the |x|…MCQMediumJEE 2023
- 15The coefficient of x⁵ in the expansion of ( 2x³ - 1/3x²)⁵ is:MCQMediumJEE 2023
Frequently asked questions
Our bank has 15 previous-year JEE Mathematics questions tagged to General Term, drawn from JEE papers between 2023 and 2025, including 1 from 2025 alone. Each comes with a full step-by-step solution.
General Term is rated Intermediate overall for JEE Mathematics. The PYQs on this page break down as 14 medium, 1 easy.
Of the 15 previous-year questions on General Term, 10 are multiple-choice (MCQ) and 5 are numerical-value (NVA) questions.
Based on recent paper analysis, General Term is worth about 1 mark in JEE Main. It sits in Binomial Theorem, a Class 11 Mathematics chapter.
More Binomial Theorem topics
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