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  • The term independent of x in the expansion of  <img alt="\left(\sqrt{\frac{x}{3}}+\frac{3}{2 x^2}\right)^{10}" src="ht

The term independent of x in the expansion of  \left(\sqrt{\frac{x}{3}}+\frac{3}{2 x^2}\right)^{10}will be

 

Option: 1

\frac{3}{2}


Option: 2

\frac{5}{4}


Option: 3

\frac{5}{2}


Option: 4

None of these


Answers (1)

best_answer

(10-r)\left(\frac{1}{2}\right)+r(-2)=0 \Rightarrow r=2 \quad \therefore \quad T_3={ }^{10} C_2\left(\frac{1}{3}\right)^{8 / 2}\left(\frac{3}{2}\right)^2=\frac{5}{4}

Posted by

shivangi.shekhar

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