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Byju's Answer
Standard X
Mathematics
Class Interval
If 2x+1, 3x...
Question
If
2
x
+
1
,
3
x
−
3
and
3
x
+
2
are in A.P then the value of
x
is
A
7
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B
8
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C
6
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D
9
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Solution
The correct option is
D
9
Since
2
x
+
1
,
3
x
−
3
,
3
x
+
2
are in A.P.
∴
(
3
x
−
3
)
−
(
2
x
+
1
)
=
3
x
+
2
−
(
3
x
−
3
)
⇒
2
(
3
x
−
3
)
=
3
x
+
2
+
2
x
+
1
⇒
6
x
−
6
=
5
x
+
3
⇒
x
=
9
∴
Option D is correct.
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