The middle term in the expansion of \[{{\left( x+\frac{1}{x} \right)}^ – McqOptions

MCQOPTIONS

1.	The middle term in the expansion of \[{{\left( x+\frac{1}{x} \right)}^{10}}\] is [BIT Ranchi 1991; RPET 2002; Pb. CET 1991]
A.	\[^{10}{{C}_{4}}\frac{1}{x}\]
B.	\[^{10}{{C}_{5}}\]
C.	\[^{10}{{C}_{5}}x\]
D.	\[^{10}{{C}_{7}}{{x}^{4}}\]
Answer» C. \[^{10}{{C}_{5}}x\]

Discussion

No Comment Found

Related MCQs

The term independent of x in the expansion of \[{{(1+x)}^{n}}{{\left( 1+\frac{1}{x} \right)}^{n}}\] is [EAMCET 1989]
The middle term in the expansion of \[{{\left( x+\frac{1}{x} \right)}^{10}}\] is [BIT Ranchi 1991; RPET 2002; Pb. CET 1991]
In the expansion of \[{{\left( 2{{x}^{2}}-\frac{1}{x} \right)}^{12}}\], the term independent of x is [MP PET 2001]
The term independent of x in the expansion of \[{{\left( \frac{1}{2}{{x}^{1/3}}+{{x}^{-1/5}} \right)}^{8}}\] will be [Roorkee 1985]
The coefficient of \[{{x}^{7}}\] in the expansion of \[{{\left( \frac{{{x}^{2}}}{2}-\frac{2}{x} \right)}^{8}}\] is [MNR 1975]
If \[\frac{{{(1-3x)}^{1/2}}+{{(1-x)}^{5/3}}}{\sqrt{4-x}}\]is approximately equal to \[a+bx\]for small values of x,then \[(a,b)\]=
\[\frac{{{C}_{1}}}{{{C}_{0}}}+2\frac{{{C}_{2}}}{{{C}_{1}}}+3\frac{{{C}_{3}}}{{{C}_{2}}}+....+15\frac{{{C}_{15}}}{{{C}_{14}}}=\] [IIT 1962]
The largest term in the expansion of \[{{(3+2x)}^{50}}\] where \[x=\frac{1}{5}\] is [IIT Screening 1993]
The term independent of x in \[{{\left( \sqrt{x}-\frac{2}{x} \right)}^{18}}\]is [EAMCET 1990]
The term independent of x in \[{{\left[ \frac{\sqrt{x}}{3}+\frac{\sqrt{3}}{{{x}^{2}}} \right]}^{10}}\] is [EAMCET 1984; RPET 2000]