Mathematics · JEE

Important Questions: General term and middle term and simple applications for JEE

4+ syllabus-aligned questions available

Quick answer

The most important General term and middle term and simple applications questions for JEE cover conceptual traps, standard results, and numerical patterns from General term and middle term and simple applications. Goodmarks provides 4+ high-yield MCQs with full solutions.

Focus on what matters most. These important General term and middle term and simple applications questions cover high-weightage concepts from General term and middle term and simple applications — the topics JEE repeats every year.

Free sample questions

Attempt 4 free MCQs for General term and middle term and simple applications. Unlock the full bank with Pro.

Unlock full bank

Q1MathsUnit 5: Binomial Theorem and Its Simple Applications

The coefficient of

x^{9}

in the expansion of

\left(x^{3}+\frac{1}{2^{t}}\right)^{11},

where

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

\left(x+x^{\log _{10} x}\right)^{3}

10^{6}

then

x

is equal to

Q3MathsUnit 5: Binomial Theorem and Its Simple Applications

The total number of terms in the expansion of

(x+y)^{50}+(x-y)^{50}

Q4MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate

(\sqrt{\mathbf{3}}-\sqrt{\mathbf{2}})^{\mathbf{6}}+(\sqrt{\mathbf{3}}+\sqrt{\mathbf{2}})^{\mathbf{6}}

Want unlimited General term and middle term and simple applications practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

What makes a General term and middle term and simple applications question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Binomial Theorem and Its Simple Applications are high-weightage?

Key areas include General term and middle term and simple applications. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.