MCQ
${\left( {x - \frac{1}{x}} \right)^6}$ ના વિસ્તરણમાં અચળ પદમેળવો.
- ✓$-20$
- B$20$
- C$30$
- D$-30$
the general term is $^6{C_r}{x^{6 - r}}{\left( { - \frac{1}{x}} \right)^r}{ = ^6}{C_r}{( - 1)^r}{x^{6 - 2r}}$
For term independent of $x,\,\,6 - 2r = 0 $
$\Rightarrow r = 3$
Thus the required coefficient $ = {( - 1)^3}{.^6}{C_3} = - 20$.
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