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Mathematics
Mathematics
Problem
The circumcircle of the quadrilateral formed by the lines
x
=
a
x=a
x
=
a
,
x
=
2
a
x=2a
x
=
2
a
,
y
=
−
a
y=-a
y
=
−
a
,
y
=
a
y=a
y
=
a
is- (1)
x
2
+
y
2
−
3
a
x
−
a
2
=
0
x^2 + y^2 - 3ax - a^2 = 0
x
2
+
y
2
−
3
a
x
−
a
2
=
0
(2)
x
2
+
y
2
+
3
a
x
+
a
2
=
0
x^2 + y^2 + 3ax + a^2 = 0
x
2
+
y
2
+
3
a
x
+
a
2
=
0
(3)
x
2
+
y
2
−
3
a
x
+
a
2
=
0
x^2 + y^2 - 3ax + a^2 = 0
x
2
+
y
2
−
3
a
x
+
a
2
=
0
(4)
x
2
+
y
2
+
3
a
x
−
a
2
=
0
x^2 + y^2 + 3ax - a^2 = 0
x
2
+
y
2
+
3
a
x
−
a
2
=
0
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