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Mathematics
Problem
The equation of the circle described on the common chord of the circles
x
2
+
y
2
−
8
x
+
y
−
15
=
0
x^2 + y^2 - 8x + y - 15 = 0
x
2
+
y
2
−
8
x
+
y
−
15
=
0
and
x
2
+
y
2
−
4
x
+
4
y
−
42
=
0
x^2 + y^2 - 4x + 4y - 42 = 0
x
2
+
y
2
−
4
x
+
4
y
−
42
=
0
as diameter is- (1)
x
2
+
y
2
−
x
+
2
y
+
4
=
0
x^2 + y^2 - x + 2y + 4 = 0
x
2
+
y
2
−
x
+
2
y
+
4
=
0
(2)
x
2
+
y
2
+
10
x
−
2
y
−
12
=
0
x^2 + y^2 + 10x - 2y - 12 = 0
x
2
+
y
2
+
10
x
−
2
y
−
12
=
0
(3)
x
2
+
y
2
−
12
x
−
2
y
+
12
=
0
x^2 + y^2 - 12x - 2y + 12 = 0
x
2
+
y
2
−
12
x
−
2
y
+
12
=
0
(4)
x
2
+
y
2
−
5
x
+
3
y
+
7
=
0
x^2 + y^2 - 5x + 3y + 7 = 0
x
2
+
y
2
−
5
x
+
3
y
+
7
=
0
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