Solveeit Logo

Question

Question: The term independent of x in\(\left\lbrack \sqrt{\frac{x}{3}} + \sqrt{\frac{3}{2x^{2}}} \right\rbrac...

The term independent of x in[x3+32x2]10\left\lbrack \sqrt{\frac{x}{3}} + \sqrt{\frac{3}{2x^{2}}} \right\rbrack^{10} is

A

1

B

10C1

C

512\frac{5}{12}

D

None of these

Answer

None of these

Explanation

Solution

Let Tr+1 be the term independent of x, then

r = 10×12012+1\frac{10 \times \frac{1}{2} - 0}{\frac{1}{2} + 1} = 53/2\frac{5}{3/2} = 103\frac{10}{3}

(which is not a +ve integer)

\ There is no term independent of x.