jee-advanced 2014 Q47

jee-advanced · India · paper2 Sine and Cosine Rules Determine an angle or side from a trigonometric identity/equation

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 $c$ is the third side of the triangle, then the ratio of the in-radius to the circum-radius of the triangle is
(A) $\frac{3y}{2x(x+c)}$
(B) $\frac{3y}{2c(x+c)}$
(C) $\frac{3y}{4x(x+c)}$
(D) $\frac{3y}{4c(x+c)}$

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 $c$ is the third side of the triangle, then the ratio of the in-radius to the circum-radius of the triangle is\\
(A) $\frac{3y}{2x(x+c)}$\\
(B) $\frac{3y}{2c(x+c)}$\\
(C) $\frac{3y}{4x(x+c)}$\\
(D) $\frac{3y}{4c(x+c)}$

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