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Mathematics
Mathematics
Problem
Let the image of parabola
x
2
=
4
y
x^2 = 4y
x
2
=
4
y
, in the line
x
−
y
=
1
x - y = 1
x
−
y
=
1
be
(
y
+
a
)
2
=
b
(
x
−
c
)
(y + a)^2 = b(x - c)
(
y
+
a
)
2
=
b
(
x
−
c
)
,
a
,
b
,
c
∈
N
a, b, c \in \mathbb{N}
a
,
b
,
c
∈
N
. Then
a
+
b
+
c
a + b + c
a
+
b
+
c
is
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