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UPSC 2017 CDS II Math Paper
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© examsnet.com
Question : 32
Total: 100
If ab + bc + ca = 0, then what is the value of
a
2
a
2
−
b
c
+
b
2
b
2
−
c
a
+
c
2
c
2
−
a
b
?
[2017 CDS-II]
3
0
1
-1
Validate
Solution:
a
2
a
2
−
b
c
+
b
2
b
2
−
c
a
+
c
2
c
2
−
a
b
=
a
2
a
2
+
a
b
+
c
a
+
b
2
b
2
+
a
b
+
b
c
+
c
2
c
2
+
b
c
+
c
a
[
a
b
+
b
c
+
c
a
=
0
]
=
a
2
a
(
a
+
b
+
c
)
+
b
2
b
(
b
+
a
+
c
)
+
c
2
c
(
c
+
b
+
a
)
=
a
+
b
+
c
a
+
b
+
c
=
1
© examsnet.com
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