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Byju's Answer
Standard XII
Mathematics
Inequality
If y=3x-1+3-x...
Question
If
y
=
3
x
−
1
+
3
−
x
−
1
(x real), then the least value of y is
A
2
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B
6
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C
2
3
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D
None of these
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Solution
The correct option is
C
2
3
We have
3
x
−
1
+
3
−
x
−
1
=
1
3
(
3
x
+
3
−
x
)
≥
1
3
.
2
√
3
x
.
3
−
x
,
[
∵
A
.
M
.
≥
G
.
M
.
]
or
3
x
−
1
+
3
−
x
−
1
≥
2
3
Hence the least value of
3
x
−
1
+
3
−
x
−
1
is
2
3
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