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Paragraph: Consider the binomial expansion of (p+q x)^9 : Question: Under what condition the coefficients of x^2 and x^4 are equal?

Options

  1. Ap: q=7: 2
  2. Bp^2: q=7: 2
  3. Cp: q=2: 7
  4. Dp^2: q^2=2: 7

Correct answer

B. p^2: q=7: 2

Step-by-step solution

coefficient of x^2= coefficient of x^4 aligned & ^9 C₂ p^7 q^2= ^9 C₄ p^5 q^4 & 9.8 2.1 p^2= 9.8 .7 .6 4.3 .2 .1 q^2 & p^2 q^2 = 7 2 aligned

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