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CAT 1999 | Question: 100

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Answer the question based on the information given below:
Let x and y be real numbers and let

$f(x, y) = |x+y|, F(f(x, y)) = -f(x,y) \text{ and } G(f(x, y)) = -F(f(x, y))$

Which of the following expressions yields $x^2$ as a result?

  1. $F(f(x, -x)).G(f(x, -x))$
  2. $F(f(x, x)).G(f(x, x)).4$
  3. $-F(f(x, x)).G(f(x, -x)) \:  \log_2 16$
  4. $f(x,x).f(x,x)$

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