In a triangle the sum of two sides is \( x \) and the product of th...

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In a triangle the sum of two sides is \( x \) and the product of the same two sides is \( y \). If \( x^{2}-c^{2}=y \), where \( \mathrm{c} \) is the third side of the triangle, then the ratio of the in-radius to the circum-radius of the triangle is
\( \mathrm{P} \)
(A) \( \frac{3 y}{2 x(x+c)} \)
(B) \( \frac{3 y}{2 c(x+c)} \)
(C) \( \frac{3 y}{4 x(x+c)} \)
(D) \( \frac{3 y}{4 c(x+c)} \)
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