search
Log In
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
0 votes
95 views

The value of the term independent of $x$ in the expansion of $(1-x)^2(x+\frac{1}{x})^7$ is

  1. $-70$
  2. $70$
  3. $35$
  4. None of these
in Combinatory
recategorized by
95 views

1 Answer

0 votes
$(x+a)^{n}$=$\sum \binom{n}{r} x^{n-r} a^{r}$ put x power zero find r then put r in equations

Ans=-70

Related questions

0 votes
1 answer
1
101 views
The value of $(1.1)^{10}$ correct to $4$ decimal places is $2.4512$ $1.9547$ $2.5937$ $1.4512$
asked Sep 18, 2019 in Numerical Ability gatecse 101 views
2 votes
1 answer
2
113 views
If the letters of the word $\textbf{COMPUTER}$ be arranged in random order, the number of arrangements in which the three vowels $O, U$ and $E$ occur together is $8!$ $6!$ $3!6!$ None of these
asked Sep 18, 2019 in Combinatory gatecse 113 views
2 votes
1 answer
3
111 views
The value of the term independent of $x$ in the expansion of $(1-x)^{2}(x+\frac{1}{x})^{7}$ is $-70$ $70$ $35$ None of these
asked Sep 18, 2019 in Combinatory gatecse 111 views
1 vote
1 answer
4
174 views
Let $(1+x)^n = C_0+C_1x+C_2x^2+ \ldots +C_nx^n, \: n$ being a positive integer. The value of $\left( 1+\frac{C_0}{C_1} \right) \left( 1+\frac{C_1}{C_2} \right) \cdots \left( 1+\frac{C_{n-1}}{C_n} \right)$ is $\left( \frac{n+1}{n+2} \right) ^n$ $ \frac{n^n}{n!} $ $\left( \frac{n}{n+1} \right) ^n$ $\frac{(n+1)^n}{n!}$
asked Sep 23, 2019 in Combinatory Arjun 174 views
...