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7.Binomial Theorem
easy
${\left( {x - \frac{1}{x}} \right)^{18}}$ ના વિસ્તરણમાં મધ્યમપદ મેળવો.
A
$^{18}{C_9}$
B
${ - ^{18}}{C_9}$
C
$^{18}{C_0}$
D
${ - ^{18}}{C_{10}}$
Solution
(b) If $n$ is even.
$\therefore $Middle term is $10^{th}$ term.
==> ${T_{10}} = {}^{18}{C_9}{(x)^9}.\,{\left( { – \frac{1}{x}} \right)^9} = {\rm{ }} – {}^{18}{C_9}$.
Standard 11
Mathematics
