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Mathematics
Mathematics
Problem
If a circle passes through the point (1, 2) and cuts the circle
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
orthogonally, then the equation of the locus of its centre is- (1)
x
2
+
y
2
−
2
x
−
6
y
−
7
=
0
x^2 + y^2 - 2x - 6y - 7 = 0
x
2
+
y
2
−
2
x
−
6
y
−
7
=
0
(2)
x
2
+
y
2
−
3
x
−
8
y
+
1
=
0
x^2 + y^2 - 3x - 8y + 1 = 0
x
2
+
y
2
−
3
x
−
8
y
+
1
=
0
(3)
2
x
+
4
y
−
9
=
0
2x + 4y - 9 = 0
2
x
+
4
y
−
9
=
0
(4)
2
x
+
4
y
−
1
=
0
2x + 4y - 1 = 0
2
x
+
4
y
−
1
=
0
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