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General term and middle term and simple applications Revision for JEE

7+ syllabus-aligned questions available

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Revise General term and middle term and simple applications by covering every subtopic once, drilling formulas, then solving 7+ timed MCQs with full solutions.

Use this General term and middle term and simple applications revision checklist before mocks and the final exam. Reinforce concepts with 7+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: General term and middle term and simple applications
  2. 2.Relates to other subtopics in Binomial Theorem and Its Simple Applications
  3. 3.Binomial theorem for positive integer n
  4. 4.General term and middle term
  5. 5.Master General term and middle term and simple applications definitions and standard results
  6. 6.Solve 20 timed MCQs for General term and middle term and simple applications

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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How should I revise General term and middle term and simple applications before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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