Mathematics · JEE

Binomial Theorem and Its Simple Applications Short Tricks for JEE

19+ syllabus-aligned questions available

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Short tricks for Binomial Theorem and Its Simple Applications work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

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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

Sum of coefficients in the expeansion of

(a+b+c)^{8}

Q3MathsUnit 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

Q4MathsUnit 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=

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate the following

(0.98)^{2}

Q6MathsUnit 5: Binomial Theorem and Its Simple Applications

The coeffcient of

x^{10}

in the expansion of

(1+x)^{2}\left(1+x^{2}\right)^{3}\left(1+x^{3}\right)^{4}

is equal to

Q7MathsUnit 5: Binomial Theorem and Its Simple Applications

The number of terms with integral coefficients in the expansion of

\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600}

Q8MathsUnit 5: Binomial Theorem and Its Simple Applications

\forall n \in N, 3^{3 n}-26^{n}

is divisible by

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Frequently asked questions

Are short tricks enough for Binomial Theorem and Its Simple Applications in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.