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CDS Model Paper 4 Mathematics
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© examsnet.com
Question : 29
Total: 100
If
a
+
b
+
c
=
0
, then find the value of
a
2
a
2
−
b
c
+
b
2
b
2
−
c
a
+
c
2
c
2
−
a
b
0
1
6
None of these
Validate
Solution:
Given,
a
+
b
+
c
=
0
⇒
a
2
=
(
b
+
c
)
2
Now, consider
a
2
a
2
−
b
c
+
b
2
b
2
−
c
a
+
c
2
c
2
−
a
b
=
(
b
+
c
)
2
a
2
−
b
c
+
b
2
b
2
−
c
a
+
c
2
c
2
−
a
b
=
(
b
+
c
)
2
(
b
+
c
)
2
−
b
c
+
b
2
b
2
+
c
(
b
+
c
)
+
c
2
c
2
+
b
(
b
+
c
)
=
(
b
+
c
)
2
b
2
+
c
2
+
b
c
+
b
2
b
2
+
c
2
+
b
c
+
c
2
c
2
+
b
2
+
b
c
=
b
2
+
c
2
+
2
b
c
+
b
2
+
c
2
b
2
+
c
2
+
b
c
=
2
(
b
2
+
c
2
+
b
c
)
b
2
+
c
2
+
b
c
=
2
© examsnet.com
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