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Mathematics
Problem
The line
L
1
L_{1}
L
1
has the equation
3
x
−
4
y
+
5
=
0
3x - 4y + 5 = 0
3
x
−
4
y
+
5
=
0
. The point
P
(
0
,
0
)
P(0, 0)
P
(
0
,
0
)
is reflected across
L
1
L_{1}
L
1
to form point
P
1
P_{1}
P
1
. Point
P
1
P_{1}
P
1
is then reflected across the vertical line
x
=
2
x = 2
x
=
2
to form point
P
2
P_{2}
P
2
. Calculate the distance from the origin to
P
2
P_{2}
P
2
.
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