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Properties of Triangle question

2014 · Shift 2 · Q35

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JEE Advanced
Mathematics
Properties of Triangle
2014 · Shift 2 · Q35

Properties of Triangle question

2014 · Shift 2 · Q35

JEE AdvancedMathematicsProperties of TriangleMCQ+3 / −1

In a triangle the sum of two sides is

x

and the product of the same 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
${{3y} \over {2x\left( {x + c} \right)}}$
B
${{3y} \over {2c\left( {x + c} \right)}}$
C
${{3y} \over {4x\left( {x + c} \right)}}$
D
${{3y} \over {4c\left( {x + c} \right)}}$

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