Class 11MathematicsBinomial TheoremGeneral term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient
EasyWrite the general term in the expansion of $(x^{2}-y)^{6}$.
- A$(-1)^{r} \cdot {}^{6}C_{r} \cdot x^{12-2r} \cdot y^{r}$
- B$(-1)^{r} \cdot {}^{6}C_{r} \cdot x^{6-r} \cdot y^{r}$
- C$(-1)^{r} \cdot {}^{6}C_{r} \cdot x^{12-r} \cdot y^{r}$
- D$(-1)^{r} \cdot {}^{6}C_{r} \cdot x^{2r} \cdot y^{r}$
Explore More
Similar Questions
If the sum of the coefficients in the expansion of $(x+y)^{n}$ is $4096,$ then the greatest coefficient in the expansion is .... .
For $n \in N$,in the expansion of $\left(\sqrt[4]{x^{-3}}+a \sqrt[4]{x^5}\right)^n$,the sum of all binomial coefficients lies between $200$ and $400$ and the term independent of $x$ is $448$. Then the value of $a$ is
In the binomial expansion of $(a - b)^n, n \ge 5,$ the sum of the $5^{th}$ and $6^{th}$ terms is zero. Then $\frac{a}{b}$ is equal to
DifficultIIT 2001
View SolutionLet $n$ be a positive integer. If the coefficients of $2^{\text{nd}}$,$3^{\text{rd}}$,and $4^{\text{th}}$ terms in the expansion of $(1+x)^n$ are in $A$.$P$.,then the value of $n$ is:
$A$ person takes an examination consisting of four papers,each with a maximum of $m$ marks. The number of ways in which one can obtain a total of $2m$ marks is
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo