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JEE Main2015MathematicsBinomial TheoremActual

The sum of coefficients of integral powers of x in the binomial expansion of 1 - 2 x 50 is

Options

  1. A1 2 2 50 + 1
  2. B1 2 3 50 + 1
  3. C1 2 3 50
  4. D1 2 3 50 - 1

Correct answer

B. 1 2 3 50 + 1

Step-by-step solution

Integral Power Term is same as odd term in exapansion Odd Term = 1 - 2 x 50 + 1 + 2 x 50 2 Sum of coefficients = 1 - 2 50 + 1 + 2 50 2 = 1 + 3 50 2

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