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NDA2018MathematicsBinomial TheoremActual

What is the number of non-zero terms in the expansion of (1+2 3 x)¹¹+(1-2 3 x)¹¹ (after simplification)?

Options

  1. A4
  2. B5
  3. C6
  4. D11

Correct answer

C. 6

Step-by-step solution

We know, in the expansion of (x+y)^n+(x-y)^n , of n = even, then number of non zero terms is n 2 +1 n = odd, then number of non zero terms in n +1 2 . Here, n =11 which is odd. number of non zero terms = 11+1 2 =6 .

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