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Mathematics
Mathematics
Problem
From the point
A
(
0
,
3
)
A(0, 3)
A
(
0
,
3
)
on
x
2
+
4
x
+
(
y
−
3
)
2
=
0
x^2 + 4x + (y - 3)^2 = 0
x
2
+
4
x
+
(
y
−
3
)
2
=
0
, a chord
A
B
AB
A
B
is drawn and extended to a point
M
M
M
, such that
A
M
=
2
A
B
AM = 2AB
A
M
=
2
A
B
. An equation of the locus of
M
M
M
is a.
x
2
+
6
x
+
(
y
−
2
)
2
=
0
x^2 + 6x + (y - 2)^2 = 0
x
2
+
6
x
+
(
y
−
2
)
2
=
0
b.
x
2
+
8
x
+
(
y
−
3
)
2
=
0
x^2 + 8x + (y - 3)^2 = 0
x
2
+
8
x
+
(
y
−
3
)
2
=
0
c.
x
2
+
y
2
+
8
x
−
6
y
+
9
=
0
x^2 + y^2 + 8x - 6y + 9 = 0
x
2
+
y
2
+
8
x
−
6
y
+
9
=
0
d.
x
2
+
y
2
+
6
x
−
4
y
+
4
=
0
x^2 + y^2 + 6x - 4y + 4 = 0
x
2
+
y
2
+
6
x
−
4
y
+
4
=
0
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