Equal ratios a/(b+c) = b/(c+a) = c/(a+b): deduce the common value or a relation

1. A.
   Each fraction is equal to 1 or $-1$.
2. B.
   Each fraction is equal to $\frac{1}{2}$ or 1.
3. C.
   Each fraction is equal to $\frac{1}{2}$ or $-1$.
4. D.
   Each fraction is equal to $\frac{1}{2}$ only.

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1. A.
   $a^2b^2 + b^2c^2 + c^2a^2$
2. B.
   $2(a^2b^2 + b^2c^2 + c^2a^2)$
3. C.
   $3(a^2b^2 + b^2c^2 + c^2a^2)$
4. D.
   $4(a^2b^2 + b^2c^2 + c^2a^2)$

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