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JEE Main201912 Apr 2019Evening ShiftMathematicsBinomial TheoremActual

The term independent of x in the expansion of 1 60 - x 8 81 . 2 x 2 - 3 x 2 6 is equal to

Options

  1. A- 72
  2. B36
  3. C- 108
  4. D- 36

Correct answer

D. - 36

Step-by-step solution

To find the coefficient of term independent of x in given expression, first let's find constant term and coefficient of x - 8 in the expansion of   2 x 2 - 3 x 2 6 T r + 1 =     6 C r   2 x 2 6 - r ×   - 3 x 2 r   T r + 1 =     6 C r   2 6 - r ×   - 3 r   ×     x 12 - 4 r For constant term:   r = 3 , hence constant term =   6 C 3   2 3 × - 3 3 × x 0 For coefficient of   x - 8   :   r = 5 , hen

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