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Mathematics
Problem
If a tangent to the circle
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is (1)
x
2
+
y
2
−
2
x
y
=
0
x^2 + y^2 - 2xy = 0
x
2
+
y
2
−
2
x
y
=
0
(3)
x
2
+
y
2
−
4
x
2
y
2
=
0
x^2 + y^2 - 4x^2y^2 = 0
x
2
+
y
2
−
4
x
2
y
2
=
0
(2)
x
2
+
y
2
−
16
x
2
y
2
=
0
x^2 + y^2 - 16x^2y^2 = 0
x
2
+
y
2
−
16
x
2
y
2
=
0
(4)
x
2
+
y
2
−
2
x
2
y
2
=
0
x^2 + y^2 - 2x^2y^2 = 0
x
2
+
y
2
−
2
x
2
y
2
=
0
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