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The Cartesian product A xxA has 9 eleme...

The Cartesian product `A xxA ` has 9 elements among which are found `(-1, 0) " and " (0, 1)`. Find the set `A` and the remaining elements of `A xxA`.

Text Solution

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`(-1,0) & (0,1) in A*A`
`(-1,0) in A`
`(0,1) in A`
so, `(-1,0,1) in A`
`A*A = {-1,0,1}*{-1,0,1}`
`= {(0,-1),(-1,0),(-1,1),(0,-1),(0,0),(0,1),(1,-1) ,(1,0),(1,1)}`
``
Answer
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