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UPSC CDS Math Law of Indices Questions
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© examsnet.com
Question : 10
Total: 13
If
x
=
t
1
t
−
1
and
y
=
t
t
t
−
1
,
t
>
0
,
t
≠
1
, then what is the relation between
x
and
y
?
[2017 CDS-I]
y
x
=
x
1
y
x
1
y
=
y
1
x
x
y
=
y
x
x
y
=
y
1
x
Validate
Solution:
y
=
t
t
t
−
1
=
(
t
1
t
−
1
)
t
⇒
y
=
x
t
......(1)
y
x
=
t
t
t
−
1
t
1
t
−
1
⇒
y
x
=
t
1
t
−
1
−
1
t
−
1
=
t
t
−
1
t
−
1
=
t
....(2)
From (1) and (2), we get
y
=
x
y
x
⇒
y
x
=
x
y
© examsnet.com
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