Mathematics · JEE

Important Questions: Binomial theorem for a positive integral index for JEE

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Q1MathsUnit 5: Binomial Theorem and Its Simple Applications

Sum of coefficients in the expeansion of

(a+b+c)^{8}

Q2MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate the following

(0.98)^{2}

Q3MathsUnit 5: Binomial Theorem and Its Simple Applications

Using identities, evaluate

998^{2}

Q4MathsUnit 5: Binomial Theorem and Its Simple Applications

The number of dissimilar terms in the expansion of

\left(1-3 x+3 x^{2}-x^{3}\right)^{20}

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

Using the formula for squaring a binomial the value of

(999)^{2}

is:

Q6MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate using expansion of

(a+b)^{2}

(a-b)^{2}:

(9.4)^{2}

Q7MathsUnit 5: Binomial Theorem and Its Simple Applications

Assertion

(\sqrt{2}-1)^{n}

can be expressed as

\sqrt{N}

\sqrt{N-1}

for

\forall N>1

and

n \in N

Reason

(\sqrt{2}-1)^{n}

can be written in the form

\boldsymbol{\alpha}+\boldsymbol{\beta} \sqrt{\boldsymbol{2}} \forall, \boldsymbol{\alpha}, \boldsymbol{\beta}

are integers \& n is a positive integer.

Q8MathsUnit 5: Binomial Theorem and Its Simple Applications

a \neq 0

and

a-\frac{1}{a}=4,

find:

a^{3}-\frac{1}{a^{3}}

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

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Key areas include Binomial theorem for a positive integral index. Prioritise these before moving to edge cases.

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

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