MCQ
${\left( {2x + \frac{1}{{3x}}} \right)^6}$ ના વિસ્તરણમાં અચળપદ મેળવો.
  • A
    $\frac{{160}}{9}$
  • B
    $\frac{{80}}{9}$
  • $\frac{{160}}{{27}}$
  • D
    $\frac{{80}}{3}$

Answer

Correct option: C.
$\frac{{160}}{{27}}$
(c) $1(6 - r) + ( - 1)r = 0 \Rightarrow r = 3$,

therefore fourth term will be independent of $x$ i.e.

$^6{C_3}{(2x)^3}{\left( {\frac{1}{{3x}}} \right)^3} = 20 \times 8 \times \frac{1}{{27}} = \frac{{160}}{{27}}$

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