Highly selective Backlog Qs for JEE MainMathematicsBinomial Theorem

The term independent of x in [ ( x 3 ) + ( 3 2 x² ) ]¹⁰ is

Options

A5 4
B7 4
C9 4
DNone of these

Correct answer

D. None of these

Step-by-step solution

Given, expansion is [ ( x 3 ) + ( 3 2 x² ) ]¹⁰ Let t_ r+1 be general term, then aligned t_ r+1 &= 10 r ( x 3 )^ 10-r ( 3 2 x² )^ r &= 10 r x 10-r 2 10-r 2 3^ i / 2 2^ r / 2 x^ r = 10 r x- r 2 -r 3^ r-5 2^ r / 2 aligned For the term independent of x . Puts 5- r 2 -r=0 5- 3 2 r=0 3 2 r=5 r= 10 3 Fractional value of r is not possible. So, no term is independent of x .

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