Which one of the following is an identity property at group… – Class 12 Mathematics 2080 Solved

Class 12 Mathematics · 2080 · Solved Question with Answer

Which one of the following is an identity property at group $ (G, \circ) $

A)$ a^{-1} \circ a = a \circ a^{-1} $ $a^{-1} \circ a = a \circ a^{-1} = e$ for all $ a, a^{-1}, e \in (G, \circ) $

B) $ a \circ (b \circ c) $ $a \circ (b \circ c) = (a \circ b) \circ c$

C) $ e \circ a $ $e \circ a = a \circ e = a$

D) $ b \circ a $ $b \circ a = c \circ a$

Solution

Which one of the following is an identity property at group \( (G, \circ) \) A) \( a^{-1} \circ a = a \circ a^{-1} \) = e for all \( a, a^{-1}, e \in…