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Mathematics
Problem
A region in the xy-plane is bounded by the curve
y
=
(
25
−
x
2
)
y = \sqrt{(25 - x^2)}
y
=
(
25
−
x
2
)
and the line
y
=
0
y = 0
y
=
0
. If the point
(
a
,
a
+
1
)
(a, a+1)
(
a
,
a
+
1
)
lies in the interior of the region, then a.
a
∈
(
−
4
,
3
)
a \in (-4, 3)
a
∈
(
−
4
,
3
)
b.
a
∈
(
−
∞
,
−
1
)
∪
(
3
,
∞
)
a \in (-\infty, -1) \cup (3, \infty)
a
∈
(
−
∞
,
−
1
)
∪
(
3
,
∞
)
c.
a
∈
(
−
1
,
3
)
a \in (-1, 3)
a
∈
(
−
1
,
3
)
d. None of these
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