Class 11

Math

Algebra

Binomial Theorem

Write down and simplify:The $12_{th}$ term of $(2x−1)_{13}$.

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Write the general term in the expansion of $(x_{2}−y)_{6}$

The sum of all the coefficients of the terms in the expansion of $(x+y+z+w)_{6}$ which contain $x$ but not $y$, is

Find the term independent of $x$ in the expansion of: $(2x−x1 )_{10}˙$

Find $n$, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of $(42 +43 1 )_{n}is6 :1$.

Using binomial theorem evaluate each of the following: $(102)_{5}$

Let $(5+26 )_{n}=p+f$ where $n∈N$ and $p∈N$ and $0<f<1$ then the value of, $f_{2}−f+pf−p$ is

If $(1+px+x_{2})_{n}=1+a_{1}x+a_{2}x_{2}+…+a_{2n}x_{2n}$. The value of $a_{1}+3a_{2}+5a_{3}+7a_{4}+….(4n−1)a_{2n}$ when $p=−3$ and $n∈$ even is

The value of $_{1000}C_{50}+_{999}C_{49}+_{998}C_{48}+……+_{950}C_{0}$ is