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Mathematics · JEE

General term and middle term and simple applications Short Tricks for JEE

7+ syllabus-aligned questions available

Quick answer

Short tricks for General term and middle term and simple applications work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these General term and middle term and simple applications shortcuts to save time in JEE Mathematics papers — then validate speed with 7+ MCQs on Goodmarks.

Short tricks for speed

  • General term and middle term and simple applications focus drill

    Solve 15 mixed MCQs for General term and middle term and simple applications, 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
The coefficient of x9x^{9} in the expansion of (x3+12t)11,\left(x^{3}+\frac{1}{2^{t}}\right)^{11}, where t=log⁡2(x32)t=\log _{\sqrt{2}}\left(x^{\frac{3}{2}}\right)
Q2MathsUnit 5: Binomial Theorem and Its Simple Applications
If it is known that the third term of the binomial expansion (x+xlog⁡10x)3\left(x+x^{\log _{10} x}\right)^{3} is 10610^{6} then xx is equal to
Q3MathsUnit 5: Binomial Theorem and Its Simple Applications
If the middle term in the expansion of (x2+1x)n\left(x^{2}+\frac{1}{x}\right)^{n} is 924x6,924 x^{6}, then n=n=
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
Coefficient of x50\boldsymbol{x}^{\mathbf{5 0}} (x>0),(x>0), in (1+x)1000+2x(1+(1+x)^{1000}+2 x(1+ x)999+3x2(1+x)998+…\boldsymbol{x})^{999}+\mathbf{3} \boldsymbol{x}^{2}(\mathbf{1}+\boldsymbol{x})^{998}+\ldots is
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
The total number of terms in the expansion of (x+y)50+(x−y)50(x+y)^{50}+(x-y)^{50} is
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate (3−2)6+(3+2)6(\sqrt{\mathbf{3}}-\sqrt{\mathbf{2}})^{\mathbf{6}}+(\sqrt{\mathbf{3}}+\sqrt{\mathbf{2}})^{\mathbf{6}}
Q7MathsUnit 5: Binomial Theorem and Its Simple Applications
Number of irrational terms in the binomial expansion of (31/5+71/3)100\left(3^{1 / 5}+7^{1 / 3}\right)^{100} is

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Frequently asked questions

Are short tricks enough for General term and middle term and simple applications in JEE?

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

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