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CBSE XII
>>
Math
>>
Relations and Functions
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Q)
For each operation
∗
defined below, determine whether
∗
is binary, commutative or associative.
(
i
)
O
n
Z
,
d
e
f
i
n
e
a
∗
b
=
a
−
b
(
i
i
)
O
n
Q
,
d
e
f
i
n
e
a
∗
b
=
a
b
+
1
(
i
i
i
)
O
n
Q
,
d
e
f
i
n
e
a
∗
b
=
a
b
2
(
i
v
)
O
n
Z
+
,
d
e
f
i
n
e
a
∗
b
=
2
a
b
(
v
)
O
n
Z
+
,
d
e
f
i
n
e
a
∗
b
=
a
b
(
v
i
)
O
n
R
−
{
−
1
}
,
d
e
f
i
n
e
a
∗
b
=
a
b
+
1
Share
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