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JEE Main Math Class 11 Linear Inequalities Questions
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© examsnet.com
Question : 9
Total: 9
If
a
,
b
,
c
are distinct +ve real numbers and
a
2
+
b
2
+
c
2
=
1
then
a
b
+
b
c
+
c
a
is
[2002]
less than 1
equal to 1
greater than 1
anyreal no.
Validate
Solution:
∵
(
a
−
b
)
2
+
(
b
−
c
)
2
+
(
c
−
a
)
2
>
0
⇒
2
(
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
)
>
0
[
∵
a
2
+
b
2
+
c
2
=
1
]
⇒
2
>
2
(
a
b
+
b
c
+
c
a
)
⇒
a
b
+
b
c
+
c
a
<
1
© examsnet.com
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