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Byju's Answer
Standard XII
Mathematics
Combination with Restrictions
How many trip...
Question
How many triplets (x, y, z) of positive real numbers can be found such that
x
y
=
z
,
y
z
=
x
a
n
d
z
x
=
y
?
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Solution
x
y
=
z
,
y
z
=
x
and
z
x
=
y
Put
x
=
y
z
in
(
x
y
=
z
)
⇒
y
z
y
=
z
,
Now put
y
=
z
x
z
x
y
z
=
z
⇒
x
y
z
=
1
Hence only one value of
(
x
,
y
,
z
)
is possible.
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