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AP EAMCET202022 Sep 2020Morning ShiftMathematicsBinomial TheoremActual

If the sum of all the coefficients of ( x^2-2 x+1 )²⁰¹⁹ is equal to the sum of all the coefficients of (x- y)²⁰¹⁹ , then =

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

The sum of the coefficient of ( x^2-2 x+1 )²⁰¹⁹ is ( -1)²⁰¹⁹ . (On putting =1 ) and similarly the sum of the coefficients of (x- y)²⁰¹⁹ is (1- )²⁰¹⁹ (on putting x=y=1 ) Now according to the question, aligned & ( -1)²⁰¹⁹=(1- )²⁰¹⁹ & -1=1- =1 aligned

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