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Byju's Answer
Standard VII
Mathematics
Properties of Multiplication of Integers
If a, b, c ar...
Question
If a, b, c are positive real numbers such that a³+b³/8+c³/27=1/2abc then a:b:c is equal to
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Similar questions
Q.
If a, b and c are positive real numbers such that
a
3
+
b
3
8
+
c
3
27
=
1
2
a
b
c
then a : b : c is equal to
Q.
If
a
,
b
,
c
are positive real numbers such that
a
b
2
c
3
=
64
then minimum value of
(
1
a
+
2
b
+
3
c
)
is equal to.
Q.
If
a
,
b
,
c
,
d
are four positive real numbers such that
a
b
c
d
=
1
, then the minimum value of
(
1
+
a
)
(
1
+
b
)
(
1
+
c
)
(
1
+
d
)
is equal to
Q.
Assertion :If a, b, c are three positive real numbers such that
a
+
c
≠
0
and
1
a
+
1
a
−
b
+
1
c
+
1
c
−
b
=
0
then
a
,
b
,
c
are in
H
.
P
Reason: If
a
,
b
,
c
are distinct positive real numbers such that
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
y
+
c
(
a
−
b
)
y
2
is a perfect square, then
a
,
b
,
c
are in
H
.
P
.
Q.
If
a
,
b
,
c
,
d
are positive real numbers such that
a
3
=
a
+
b
4
=
a
+
b
+
c
5
=
a
+
b
+
c
+
d
6
, then
a
b
+
2
c
+
3
d
is equal to
?
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