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Byju's Answer
Standard VII
Mathematics
Expression Formation
If a, b, c ar...
Question
If a, b, c are in A.P., then
b
c
c
a
+
a
b
,
c
a
b
c
+
a
b
,
a
b
b
c
+
c
a
are in A.P.
A
True
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B
False
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Solution
The correct option is
B
False
We have,
a
,
b
,
c
are in
A
.
P
a
a
b
c
,
b
a
b
c
,
c
a
b
c
are in
A
.
P
1
b
c
,
1
c
a
,
1
a
b
are in
A
.
P
a
b
+
b
c
+
c
a
b
c
,
a
b
+
b
c
+
c
a
c
a
,
a
b
+
b
c
+
c
a
a
b
are also in
A
.
P
a
b
+
b
c
+
c
a
b
c
−
1
,
a
b
+
b
c
+
c
a
c
a
−
1
,
a
b
+
b
c
+
c
a
a
b
−
1
are also in
A
.
P
a
b
+
c
a
b
c
,
a
b
+
b
c
c
a
,
b
c
+
c
a
a
b
are also in
A
.
P
b
c
a
b
+
c
a
,
c
a
a
b
+
b
c
,
a
b
b
c
+
c
a
are in
H
.
P
Hence, this is the answer.
Suggest Corrections
0
Similar questions
Q.
If
b
+
c
a
,
c
+
a
b
,
a
+
b
c
are in A.P., prove that:
(i)
1
a
,
1
b
,
1
c
are in A.P.
(ii) bc, ca, ab are in A.P.
Q.
If
1
a
,
1
b
,
1
c
are in A.P., prove that
(i)
bc,ca,ab are in A.P.
(ii) a(b+c), b(c+a), c(a+b) are in A.P
Q.
If
1
a
b
+
a
c
,
1
b
c
+
a
b
,
1
c
a
+
b
c
are in H.P, then
a
,
b
,
c
are in
Q.
If
a
,
b
,
c
are nonzero real numbers such that
∣
∣ ∣
∣
b
c
c
a
a
b
c
a
a
b
b
c
a
b
b
c
c
a
∣
∣ ∣
∣
=
0
, then
Q.
α
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,
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are the geometic means between ca, ab ; ab, bc; bc, ca respectively and a, b, c are in A.P. then
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