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BITSAT2011MathematicsBinomial TheoremActual

The term independent of (x ) in the expansion of ( (9 x - 1 3 x )¹⁸, x > 0 ), is a times the corresponding binomial coefficient. Then a is

Options

  1. A3
  2. B(1 / 3 )
  3. C(-1 / 3 )
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

( aligned T _ r +1 & = ¹⁸ C _ r (9 x )^ 18- r (- 1 3 x )^ r & =(- r )^ r ¹⁸ C _ r 9^ 18- 3 r 2 x ^ 18- 3 r 2 aligned ) is independent of ( x ) provided ( r =12 ) and then ( a =1 ).

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