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Byju's Answer
Standard XII
Mathematics
Binary Operation
Let be a bina...
Question
Let be a binary operation on z defined by
a
×
b
=
a
+
b
−
4
∀
a
,
b
∈
z
. Find the identity element
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Solution
Identity element
⇒
a
×
e
=
a
e
×
b
=
b
a
×
e
=
a
+
e
−
4
=
a
e
×
b
=
e
+
b
−
4
=
b
⇒
e
=
4
Identity element =4
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