Binomial Theorem PYQs - Last 5 Years
VITEEE / Mathematics / Algebra / 11 recent questions
MathematicsAlgebra2021-2025
Practice 11 VITEEE Mathematics questions from Binomial Theorem. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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2021-2025
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Last 5 Years Binomial Theorem Questions
Showing 11 of 11 filtered questions.
1Binomial Theorem
The value of
\(99^{50}-90 \cdot 98^{50}+\frac{99 \cdot 98}{1 \cdot 2}(97)^{50}-\ldots \ldots \ldots \ldots .+99\)
is
\(99^{50}-90 \cdot 98^{50}+\frac{99 \cdot 98}{1 \cdot 2}(97)^{50}-\ldots \ldots \ldots \ldots .+99\)
is
MCQ+4 / -12025
2Binomial Theorem
If $a$ and $b$ are two complex numbers, then the sum of $(n+1)$ terms of the series $a c_0-(a+d) c_1+(a+2 d) c_2-(a+3 d) c_3+$ $\_\_\_\_$ is
MCQ+4 / -12025
3Binomial Theorem
If $x$ is so small that $x^3$ and higher powers of $x$ may be neglected, then $\frac{(1+x)^{3 / 2}-\left(1+\frac{1}{2} x\right)^3}{(1-x)^{1 / 2}}$ may be approximate as
MCQ+4 / -12025
4Binomial Theorem
If the coefficient of $x^2$ and $x^3$ in the expansion of $\left(1+8 x+b x^2\right)(1-3 x)^9$ in the power of $x$ are equal, then $b$ is
MCQ+4 / -12024
5Binomial Theorem
Coefficient of $x^3$ in the expansion of $\left(x^2-x+1\right)^{10}\left(x^2+1\right)^{15}$ is equal to
MCQ+4 / -12024
6Binomial Theorem
If the coefficients of $x^7$ and $x^8$ in the expansion of $\left[2+\frac{x}{3}\right]^n$ are equal, then value of $n$ is
MCQ+4 / -12024
7Binomial Theorem
If \(x^n=a_0+a_1(1+x)+a_2(1+x)^2+\ldots \ldots \ldots+ a_n(1+x)^n=b_0+b_1(1-x)+b_2(1-x)^2+\ldots . .+ b_n(1-x)^n\), then for \(n=201,\left(a_{101}, b_{101}\right)\) is equal to
MCQ+4 / -12023
8Binomial Theorem
Last three digits in \((9)^{50}\) be
MCQ+4 / -12023
9Binomial Theorem
If the 2nd, 3rd and 4th terms in the expansion of \((a+b)^n\) be \(240,720\) and 1080 respectively, then the value of \((n, b, a)\) is
MCQ+4 / -12022
10Binomial Theorem
The coefficient of the term independent of \(x\) in the expansion \(\left(\frac{x+1}{x^{2 / 3}-x^{1 / 3}+1}-\frac{x-1}{x-x^{1 / 2}}\right)^{10}\) is
MCQ+4 / -12021
11Binomial Theorem
Which of the following is the correct principle of Mathematical induction?
MCQ+4 / -12021