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JEE Main2002MathematicsBinomial TheoremActual

The coefficients of x^p and x^q in the expansion of (1+x)^ p+q are

Options

  1. Aequal
  2. Bequal with opposite signs
  3. Creciprocals of each other
  4. Dnone of these

Correct answer

A. equal

Step-by-step solution

We have t_ p+1 = ^ p+q C_p x^p and t_ q+1 = ^ p+q C_q x^q ^ p+q C_p= ^ p+q C_q

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