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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 13
Total: 77
If
a
b
+
c
=
b
c
+
a
=
c
a
+
b
then which one of the following statements is correct ?
[2019 CDS-I]
Each fraction is equal to 1 or -1,
Each fraction is equal to
1
2
or 1.
Each fraction is equal to
1
2
or -1.
Each fraction is equal to
1
2
only.
Validate
Solution:
Adding 1 in all 3 fractions, we get:
a
+
b
+
c
b
+
c
=
a
+
b
+
c
c
+
a
=
a
+
b
+
c
a
+
b
⇒
b
+
c
=
c
+
a
=
a
+
b
⇒
b
=
a
and
c
=
b
⇒
a
=
b
=
c
∴
a
b
+
c
=
a
a
+
a
=
1
2
© examsnet.com
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