(Z,*) is a group with a*b = a+b+1 ∀ a, b ∈Z. The inverse of a is
| A. | 0 |
| B. | -2 |
| C. | a-2 |
| D. | -a-2 |
Answer : D Explanation : sachin kushare said: (4:15pm on Monday 25th February 2013)
we have a*e=a....(Identity property)so, a e 1=aso, e=-1we have a*b=-1....(Inverse property)so, a b 1=-1 b=-2-aso correct option (D)
Simran said: (1:49pm on Tuesday 27th June 2017)
Inverse : let a.(-a-2) = a (-a-2) 1= -1 = etherefore a inverse = -a-2 for all a belongs to Z
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Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. |
