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NDA2022MathematicsBinomial TheoremActual

Consider the following statements in respect of the expansion of (x+y)¹⁰ : 1. Among all the coefficients of the terms, the coefficient of the 6th term has the highest value 2. The coefficient of the 3 rd term is equal to coefficient of the 9th term Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

Middle term of (x+y)¹⁰ is ( 10+2 2 )^ th term =6^ th term We know that coefficient of middle term is highest value. So, statement 1 is correct Since total number of term =10+1=11 Coefficient of 3rd term = coefficient of (11-3+1)^ th term = Coefficient of 9^ th term So, statement 2 is correct

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