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Mathematics
Mathematics
Problem
The curve
x
2
+
y
2
−
2
x
=
m
y
x^{2}+y^{2}-2x=my
x
2
+
y
2
−
2
x
=
m
y
depends on the real parameter
m
m
m
. For which value of
m
m
m
does the curve possess a vertical tangent at some point whose
y
y
y
–coordinate is
1
1
1
? a)
m
=
−
2
m=-2
m
=
−
2
b)
m
=
2
m=2
m
=
2
c)
m
=
0
m=0
m
=
0
d)
m
=
4
m=4
m
=
4
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