−12
0
23
2
Correct answer is A
Given the formula for p * q as: p+q+2pq and its identity element is 0, such that if, say, t is the inverse of p, then
p∗t=0, then p+t+2pt=0∴
t = \frac{-1}{1 + 2p} is the formula for the inverse of p and is undefined on R when
1 + 2p) = 0 i.e when 2p = -1; p = \frac{-1}{2}.
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