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Mathematics
Mathematics
Problem
If a line segment
A
M
=
a
AM = a
A
M
=
a
moves in the plane
X
O
Y
XOY
X
O
Y
remaining parallel to
O
X
OX
O
X
so that the left end point
A
A
A
slides along the circle
x
2
+
y
2
=
a
2
x^2 + y^2 = a^2
x
2
+
y
2
=
a
2
, the locus of
M
M
M
is a.
x
2
+
y
2
=
4
a
2
x^2 + y^2 = 4a^2
x
2
+
y
2
=
4
a
2
b.
x
2
+
y
2
=
2
a
x
x^2 + y^2 = 2ax
x
2
+
y
2
=
2
a
x
c.
x
2
+
y
2
=
2
a
y
x^2 + y^2 = 2ay
x
2
+
y
2
=
2
a
y
d.
x
2
+
y
2
−
2
a
x
−
2
a
y
=
0
x^2 + y^2 - 2ax - 2ay = 0
x
2
+
y
2
−
2
a
x
−
2
a
y
=
0
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