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Problem
Problem
The equation of the line that touches the curves
y
=
x
∣
x
∣
y = x|x|
y
=
x
∣
x
∣
and
x
2
+
(
y
−
2
)
2
=
4
x^2 + (y - 2)^2 = 4
x
2
+
(
y
−
2
)
2
=
4
, where
x
≠
0
x \neq 0
x
=
0
, is a.
y
=
4
5
x
+
20
y = 4\sqrt{5}x + 20
y
=
4
5
x
+
20
b.
y
=
4
3
x
−
12
y = 4\sqrt{3}x - 12
y
=
4
3
x
−
12
c.
y
=
0
y = 0
y
=
0
d.
y
=
−
4
5
x
−
20
y = -4\sqrt{5}x - 20
y
=
−
4
5
x
−
20
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