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CDS Model Paper 5 Mathematics
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© examsnet.com
Question : 29
Total: 100
If
a
2
=
b
+
c
,
b
2
=
c
+
a
,
c
2
=
a
+
b
, then the value of
1
1
+
a
÷
1
b
+
1
+
1
1
+
c
a
b
c
a
2
b
2
c
2
1
0
Validate
Solution:
1
1
+
a
÷
1
b
+
1
+
1
1
+
c
....(i)
Given that,
a
2
=
b
+
c
a
+
a
2
=
a
+
b
+
c
a
(
a
+
1
)
=
a
+
b
+
c
a
+
1
=
a
+
b
+
c
a
1
a
+
1
=
a
a
+
b
+
c
Similarly,
1
b
+
1
=
b
a
+
b
+
c
1
c
+
1
=
c
a
+
b
+
c
Put in eq. (i)
∴
a
a
+
b
+
c
+
b
a
+
b
+
c
+
c
a
+
b
+
c
=
a
+
b
+
c
a
+
b
+
c
=
1
© examsnet.com
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