MATHEMATICS

JAMB 2021 - Question 34

Mathematics 2021 JAMB Past Questions - Question 34: If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

Use the diagram to answer question that follows
 If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation
If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation
A:
B:
C:
D:
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Correct Answer

D

Explanation

Identity(e) : a ∗ e = am ∗ e = m...(i)m ∗ e = me + m + eBecause m ∗ e = m : m = me + m + em - m = e(m + 1)e = 0m+1e = 0