In a triangle XYZ, let x,y,z be the lengths of sides opposite to the angles X,Y,Z, respectively, and 2s=x+y+z. If s-x 4 = s-y 3 = s-z 2 and area of incircle of the triangle XYZ is 8 3 , then

JEE Advanced 2016 Mathematics question

In a triangle , let be the lengths of sides opposite to the angles , respectively, and . If and area of incircle of the triangle is , then

Answer: (A),(C),(D)

Let each ratio be : , , ; adding, , so , , . Area and . . (A)

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Question ID VK-026528