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Mathematics
Mathematics
Problem
The locus of the mid-point of a chord of the circle
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
which subtends a right angle at the origin is (a)
x
+
y
=
2
x + y = 2
x
+
y
=
2
(c)
x
2
+
y
2
=
2
x^2 + y^2 = 2
x
2
+
y
2
=
2
(b)
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
(d)
x
+
y
=
1
x + y = 1
x
+
y
=
1
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