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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 88
Total: 100
If the sum of
frac
a
b
and its recipocal is 1 and
a
≠
0
,
b
≠
0
, then the value of
a
3
+
b
3
is
2
−
1
0
1
Validate
Solution:
From the question,
a
b
+
b
a
=
1
⇒
a
2
+
b
2
=
a
b
⇒
a
2
−
a
b
+
b
2
=
0
∴
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
=
0
© examsnet.com
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