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Mathematics
Mathematics
Problem
The line
y
=
m
x
y = mx
y
=
m
x
intersects the circle
(
x
−
5
)
2
+
y
2
=
25
(x - 5)^{2} + y^{2} = 25
(
x
−
5
)
2
+
y
2
=
25
at the origin
O
O
O
and a distinct point
A
A
A
. If the length of the chord
O
A
OA
O
A
is
8
8
8
units, determine the possible values of the slope
m
m
m
.
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