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JEE Advanced 2016 Paper 1 Mathematics Q9
Mathematics
Problem
In a triangle
X
Y
Z
XYZ
X
Y
Z
, let
x
,
y
,
z
x,y,z
x
,
y
,
z
be the lengths of sides opposite to the angles
X
,
Y
,
Z
X,Y,Z
X
,
Y
,
Z
, respectively, and
2
s
=
x
+
y
+
z
2s=x+y+z
2
s
=
x
+
y
+
z
. If
s
−
x
4
=
s
−
y
3
=
s
−
z
2
\frac{s-x}{4}=\frac{s-y}{3}=\frac{s-z}{2}
4
s
−
x
=
3
s
−
y
=
2
s
−
z
and area of incircle of the triangle
X
Y
Z
XYZ
X
Y
Z
is
8
π
3
\frac{8\pi}{3}
3
8
π
, then
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