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Mathematics
Problem
The family of parabolas
y
2
=
4
k
x
y^{2}=4k x
y
2
=
4
k
x
depends on the real parameter
k
k
k
. For which value of
k
k
k
is the curve tangent to the line
y
=
2
x
+
1
y = 2x + 1
y
=
2
x
+
1
? a)
0
0
0
b)
4
4
4
c)
2
2
2
d)
1
1
1
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