Mathematics · JEE

General term and middle term and simple applications Previous Year Questions for JEE

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Syllabus context

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

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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

If the middle term in the expansion of

\left(x^{2}+\frac{1}{x}\right)^{n}

924 x^{6},

then

n=

Q4MathsUnit 5: Binomial Theorem and Its Simple Applications

Coefficient of

\boldsymbol{x}^{\mathbf{5 0}}

(x>0),

(1+x)^{1000}+2 x(1+

\boldsymbol{x})^{999}+\mathbf{3} \boldsymbol{x}^{2}(\mathbf{1}+\boldsymbol{x})^{998}+\ldots

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

The total number of terms in the expansion of

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

Q6MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate

(\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

\left(3^{1 / 5}+7^{1 / 3}\right)^{100}

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Why practise PYQs for General term and middle term and simple applications?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

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Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for General term and middle term and simple applications, covering the same topics as previous year papers.

How should I use PYQs for Binomial Theorem and Its Simple Applications?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

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