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Mathematics
Problem
The circle
C
1
:
(
x
−
2
)
2
+
y
2
=
9
C_1:(x-2)^2 + y^2 = 9
C
1
:
(
x
−
2
)
2
+
y
2
=
9
is translated
3
3
3
units upward to obtain a new circle
C
2
C_2
C
2
. Which of the following is the equation of
C
2
C_2
C
2
? a)
(
x
−
2
)
2
+
(
y
−
3
)
2
=
12
(x-2)^2 + (y-3)^2 = 12
(
x
−
2
)
2
+
(
y
−
3
)
2
=
12
b)
(
x
−
2
)
2
+
(
y
−
3
)
2
=
9
(x-2)^2 + (y-3)^2 = 9
(
x
−
2
)
2
+
(
y
−
3
)
2
=
9
c)
(
x
−
2
)
2
+
(
y
+
3
)
2
=
9
(x-2)^2 + (y+3)^2 = 9
(
x
−
2
)
2
+
(
y
+
3
)
2
=
9
d)
(
x
+
2
)
2
+
(
y
−
3
)
2
=
9
(x+2)^2 + (y-3)^2 = 9
(
x
+
2
)
2
+
(
y
−
3
)
2
=
9
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