Question on: JAMB Mathematics - 2008

a binary operation on the set of real numbers excluding -1 is such that sor all m, n (\varepsilon) R, m (\Delta) n = m + n + mn. Find the identity element of the operation.

A
1
B
o
C
-\(\frac{1}{2}\)
D
-1
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Correct Option: B

m (\Delta) n = m + n + mn

m (\Delta) e = e (\Delta) m = m

m (\Delta) e = m

m + e + me = m

e + me = m - m

e + me = 0

e(1 + m) = 0

e = (\frac{0}{1 + m}) = 0

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