JEE Advanced 2014 Mathematics question

MathematicsSolution of TrianglesJEE Advanced 2014

Not in JEE syllabus

In a triangle the sum of two sides is x and the product of the same two sides is y. If , where c is the third side of the triangle, then the ratio of the in-radius to the circum-radius of the triangle is

Answer: (B)

Solution

Let the two sides be a, b: a + b = x, ab = y. , C = 120°. Area \dfrac\sin$ C =

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Question ID VK-026350