Mathematics · JEE

Online Practice: Binomial Theorem and Its Simple Applications for JEE

13+ syllabus-aligned questions available

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Sharpen your mathematics preparation with interactive online practice for Binomial Theorem and Its Simple Applications. Goodmarks offers 13+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Subtopics in Binomial Theorem and Its Simple Applications

  • Binomial theorem for a positive integral index
  • General term and middle term and simple applications

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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=log2(x32)t=\log _{\sqrt{2}}\left(x^{\frac{3}{2}}\right)
Q2MathsUnit 5: Binomial Theorem and Its Simple Applications
Sum of coefficients in the expeansion of (a+b+c)8(a+b+c)^{8} is
Q3MathsUnit 5: Binomial Theorem and Its Simple Applications
If it is known that the third term of the binomial expansion (x+xlog10x)3\left(x+x^{\log _{10} x}\right)^{3} is 10610^{6} then xx is equal to
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate the following (0.98)2(0.98)^{2}
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
Using identities, evaluate 9982998^{2}
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of dissimilar terms in the expansion of (13x+3x2x3)20\left(1-3 x+3 x^{2}-x^{3}\right)^{20} is
Q7MathsUnit 5: Binomial Theorem and Its Simple Applications
Using the formula for squaring a binomial the value of (999)2(999)^{2} is:
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate using expansion of (a+b)2(a+b)^{2} or (ab)2:(a-b)^{2}: (9.4)2(9.4)^{2}

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Frequently asked questions

How do I practice Binomial Theorem and Its Simple Applications online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Binomial Theorem and Its Simple Applications question bank with topic filters and detailed explanations.

How many Binomial Theorem and Its Simple Applications questions are available?

Goodmarks currently has 13+ JEE-aligned MCQs for Binomial Theorem and Its Simple Applications, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Binomial theorem for a positive integral index, General term and middle term and simple applications.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.