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Byju's Answer
Standard XII
Mathematics
Inequality
2/b+c+2/c+a+2...
Question
2
b
+
c
+
2
c
+
a
+
2
a
+
b
>
9
a
+
b
+
c
A
True
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B
False
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Solution
The correct option is
A
True
We know that
(
a
+
b
)
−
1
+
(
b
+
c
)
−
1
+
(
c
+
a
)
−
1
3
>
[
(
a
+
b
+
b
+
c
+
c
+
a
)
3
]
−
1
or
1
a
+
b
+
1
b
+
c
+
1
c
+
a
>
3.
3
2
(
a
+
b
+
c
)
etc
Suggest Corrections
0
Similar questions
Q.
2
b
+
c
+
2
c
+
a
+
2
a
+
b
>
9
a
+
b
+
c
Q.
If a + b + c = 9 and ab + bc + ca = 23, then
a
2
+
b
2
+
c
2
=
Q.
Find
a
2
+
b
2
+
c
2
;
i
f
a
+
b
+
c
=
9
a
n
d
a
b
+
b
c
+
c
a
=
24
Q.
If a, b, c, d are in proportion , then prove that
(i)
11
a
2
+
9
a
c
11
b
2
+
9
b
d
=
a
2
+
3
a
c
b
2
+
3
b
d
(ii)
a
2
+
5
c
2
b
2
+
5
d
2
=
a
b
(iii)
a
2
+
a
b
+
b
2
a
2
-
a
b
+
b
2
=
c
2
+
c
d
+
d
2
c
2
-
c
d
+
d
2
Q.
Simplify: (a+2b+3c)
2
- (a-2b-3c)
2
- 6b
2
- 9bc
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