Mathematical Induction and Binomial Theorem PYQs - Last 5 Years
JEE Advanced / Mathematics / Algebra / 2 recent questions
MathematicsAlgebra2021-2025
Practice 2 JEE Advanced Mathematics questions from Mathematical Induction and Binomial Theorem. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
2
PYQs on Page
Mathematics / Algebra
2023-2025
Year Range
Based on indexed question metadata
2
Last 5 Years
2021-2025
2
Last 10 Years
2016-2025
Recent Year Trend
2023
2025Latest year
20231 max PYQs/year2025
Question Types
2PYQs
INTEGER100%
Difficulty Mix
#1 Hard1
#2 Medium1
2 in last 5 years2 in last 10 years
Last 5 Years Mathematical Induction and Binomial Theorem Questions
Showing 2 of 2 filtered questions.
1Mathematical Induction And Binomial Theorem
Let $a_0, a_1, \ldots, a_{23}$ be real numbers such that
\(\left(1+\frac{2}{5} x\right)^{23}=\sum\limits_{i=0}^{23} a_i x^i\)
for every real number $x$. Let $a_r$ be the largest among the numbers $a_j$ for $0 \leq j \leq 23$. Then the val...
\(\left(1+\frac{2}{5} x\right)^{23}=\sum\limits_{i=0}^{23} a_i x^i\)
for every real number $x$. Let $a_r$ be the largest among the numbers $a_j$ for $0 \leq j \leq 23$. Then the val...
INTEGER+4 / -02025
2Mathematical Induction And Binomial Theorem
Let $a$ and $b$ be two nonzero real numbers. If the coefficient of $x^5$ in the expansion of $\left(a x^2+\frac{70}{27 b x}\right)^4$ is equal to the coefficient of $x^{-5}$ in the expansion of $\left(a x-\frac{1}{b x^2}\right)^7$, then the...
INTEGER+4 / -02023