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7.Binomial Theorem
easy
${(1 + x)^{2n}}$ ના વિસ્તરણમાં મધ્યમપદ મેળવો.
A
$\frac{{(2n)!}}{{n!}}{x^2}$
B
$\frac{{(2n)!}}{{n!(n - 1)!}}{x^{n + 1}}$
C
$\frac{{(2n)!}}{{{{(n!)}^2}}}{x^n}$
D
$\frac{{(2n)!}}{{(n + 1)!(n - 1)!}}\,{x^n}$
Solution
(c) Middle term = ${T_{\frac{{2n + 2}}{2}}} = {T_{n + 1}} = {}^{2n}{C_n}{x^n}$= $\frac{{2n!}}{{{{(n!)}^2}}}\,.\,{x^n}$.
Standard 11
Mathematics
