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Mathematics
Mathematics
Problem
For
x
∈
R
x \in R
x
∈
R
, the expression
x
2
+
2
x
+
c
x
2
+
4
x
+
3
c
\frac{x^2 + 2x + c}{x^2 + 4x + 3c}
x
2
+
4
x
+
3
c
x
2
+
2
x
+
c
can take all real values if
c
∈
c \in
c
∈
: (a)
(
1
,
2
)
(1, 2)
(
1
,
2
)
(b)
[
0
,
1
]
[0, 1]
[
0
,
1
]
(c)
(
0
,
1
)
(0, 1)
(
0
,
1
)
(d)
(
−
1
,
0
)
(-1, 0)
(
−
1
,
0
)
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