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Binomial theorem for a positive integral index Previous Year Questions for JEE

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Goodmarks offers 9+ JEE-style PYQs for Binomial theorem for a positive integral index with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

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Q1MathsUnit 5: Binomial Theorem and Its Simple Applications
Sum of coefficients in the expeansion of (a+b+c)8(a+b+c)^{8} is
Q2MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate the following (0.98)2(0.98)^{2}
Q3MathsUnit 5: Binomial Theorem and Its Simple Applications
Using identities, evaluate 9982998^{2}
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of dissimilar terms in the expansion of (1−3x+3x2−x3)20\left(1-3 x+3 x^{2}-x^{3}\right)^{20} is
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
Using the formula for squaring a binomial the value of (999)2(999)^{2} is:
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate using expansion of (a+b)2(a+b)^{2} or (a−b)2:(a-b)^{2}: (9.4)2(9.4)^{2}
Q7MathsUnit 5: Binomial Theorem and Its Simple Applications
Assertion (2−1)n(\sqrt{2}-1)^{n} can be expressed as N\sqrt{N} N−1\sqrt{N-1} for ∀N>1\forall N>1 and n∈Nn \in N Reason (2−1)n(\sqrt{2}-1)^{n} can be written in the form α+β2∀,α,β\boldsymbol{\alpha}+\boldsymbol{\beta} \sqrt{\boldsymbol{2}} \forall, \boldsymbol{\alpha}, \boldsymbol{\beta} are integers \& n is a positive integer.
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
If a≠0a \neq 0 and a−1a=4,a-\frac{1}{a}=4, find: a3−1a3a^{3}-\frac{1}{a^{3}}

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Why practise PYQs for Binomial theorem for a positive integral index?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

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Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Binomial theorem for a positive integral index, covering the same topics as previous year papers.

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Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

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