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Mathematics
Mathematics
Problem
If the equation of circle circumscribing the quadrilateral formed by the lines in order are
2
x
+
3
y
=
2
2x + 3y = 2
2
x
+
3
y
=
2
,
3
x
−
2
y
=
3
3x - 2y = 3
3
x
−
2
y
=
3
,
x
+
2
y
=
3
x + 2y = 3
x
+
2
y
=
3
and
2
x
−
y
=
1
2x - y = 1
2
x
−
y
=
1
is given by
x
2
+
y
2
+
λ
x
+
μ
y
+
v
=
0
x^2 + y^2 + \lambda x + \mu y + v = 0
x
2
+
y
2
+
λ
x
+
μ
y
+
v
=
0
. Then the value of
∣
λ
+
2
μ
+
v
∣
|\lambda + 2\mu + v|
∣
λ
+
2
μ
+
v
∣
is
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