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Binomial theorem for a positive integral index Short Tricks for JEE

12+ syllabus-aligned questions available

Quick answer

Short tricks for Binomial theorem for a positive integral index work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Binomial theorem for a positive integral index shortcuts to save time in JEE Mathematics papers — then validate speed with 12+ MCQs on Goodmarks.

Short tricks for speed

  • Binomial theorem for a positive integral index focus drill

    Solve 15 mixed MCQs for Binomial theorem for a positive integral index, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

Syllabus context

Part of Binomial Theorem and Its Simple Applications in JEE Main Mathematics.

Free sample questions

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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
The coeffcient of x10x^{10} in the expansion of (1+x)2(1+x2)3(1+x3)4(1+x)^{2}\left(1+x^{2}\right)^{3}\left(1+x^{3}\right)^{4} is equal to
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of terms with integral coefficients in the expansion of (71/3+51/2⋅x)600\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600} is
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
∀n∈N,33n−26n\forall n \in N, 3^{3 n}-26^{n} is divisible by
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
Using identities, evaluate 9982998^{2}
Q7MathsUnit 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
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
Using the formula for squaring a binomial the value of (999)2(999)^{2} is:

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Are short tricks enough for Binomial theorem for a positive integral index in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.

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