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Problem
Problem
The radius of a circle, having minimum area, which touches the curve
y
=
4
−
x
2
y = 4 - x^2
y
=
4
−
x
2
and the lines,
y
=
∣
x
∣
y = |x|
y
=
∣
x
∣
is a.
4
(
2
+
1
)
4(\sqrt{2} + 1)
4
(
2
+
1
)
b.
2
(
2
+
1
)
2(\sqrt{2} + 1)
2
(
2
+
1
)
c.
2
(
2
−
1
)
2(\sqrt{2} - 1)
2
(
2
−
1
)
d.
4
(
2
−
1
)
4(\sqrt{2} - 1)
4
(
2
−
1
)
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