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Paragraph: Read the following information and answer that follow: Let a ^2 x+b ^2 x=c ; b ^2 y+a ^2 y=d and p x=q y . Question: What is p^2 q^2 equal to?

Options

  1. A(b-c)(b-d) (a-d)(a-c)
  2. B(a-d)(c-a) (b-c)(d-b)
  3. C(d-a)(c-a) (b-c)(d-b)
  4. D(b-c)(b-d) (c-a)(a-d)

Correct answer

B. (a-d)(c-a) (b-c)(d-b)

Step-by-step solution

From, p x=q y aligned & p^2 ^2 x=q^2 ^2 y & p^2 q^2 = ^2 y ^2 x = (d-a) (b-d) (a-c) (c-b) & = (a-d)(c-a) (b-c)(d-b) aligned

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