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VITEEE 2011 Paper
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Section:
Mathematics
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© examsnet.com
Question : 85
Total: 120
If a, b, c are in HP, then
a
b
+
c
,
b
c
+
a
,
c
a
+
b
will be in
AP
GP
HP
None of these
Validate
Solution:
a, b, c are in HP.
⇒
1
a
,
1
b
,
1
c
are in A.P.
⇒
a
+
b
+
c
a
,
a
+
b
+
c
b
,
a
+
b
+
c
c
are in AP.
⇒ 1 +
b
+
c
a
, 1 +
a
+
c
b
, 1 +
a
+
b
c
are in AP
⇒
b
+
c
a
,
a
+
c
b
,
a
+
b
c
are in AP
⇒
a
b
+
c
,
b
c
+
a
,
c
a
+
b
are in HP.
© examsnet.com
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