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Paragraph: Consider the binomial expansion of (p+q x)^9 : Question: What is the value of q if the coefficients of x^3 and x^6 are equal ?

Options

  1. Ap
  2. B9 p
  3. C1 p
  4. Dp^2

Correct answer

A. p

Step-by-step solution

Given expansion is (p+q x)^9T^ r +1 = ^9 Cr p^ 9- r (q x)^ r = ^9 Cr p p^ q - r q^ r x^ r coefficient of x^3= coefficient x^6 aligned & ^9 C₃ p^6 q^3= ^9 C₆ p^3 q^6 & p^3=q^3 & p=q aligned

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