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Mathematics
Mathematics
Problem
A series of parallel lines with slope
m
m
m
intersect the ellipse
3
x
2
+
4
y
2
=
12
3x^{2} + 4y^{2} = 12
3
x
2
+
4
y
2
=
12
. As the lines move, their midpoints trace a diameter. If this diameter passes through the point
(
2
,
−
1
)
(2, -1)
(
2
,
−
1
)
, find the value of
m
m
m
.
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