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Byju's Answer
Standard XI
Mathematics
Properties of Iota
If a b, where...
Question
If
a
>
b
,
where
a
,
b
<
0
,
then
a
r
<
b
r
when
A
r
=
4
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B
r
=
−
3
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C
r
=
−
2
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D
r
=
7
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Solution
The correct options are
A
r
=
4
B
r
=
−
3
Here,
a
>
b
when
r
=
even positive integer
a
r
,
b
r
>
0
⇒
a
r
<
b
r
∴
a
4
<
b
4
when
r
=
odd positive integer
a
r
,
b
r
<
0
⇒
a
r
>
b
r
∴
a
7
>
b
7
when
r
=
even negative integer
a
r
,
b
r
>
0
⇒
a
r
>
b
r
∴
a
−
2
>
b
−
2
when
r
=
odd negative integer
a
r
,
b
r
<
0
⇒
a
r
<
b
r
∴
a
−
3
<
b
−
3
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0
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Properties of Iota
Standard XI Mathematics
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