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

Options

A. A = {-1, 0}
B. A = {0, 1}
C. A = {-1, 0, 1}
D. A = {-1, 1}

Answer

C

Explanation

We have,
`(-1, 0)inAxxA and (0,1)inAxxAimplies-1,0,1inA`
But, `A xx A` has 9 elements. Therefore, A has 3 elements.
Hence, A = {-1, 0, 1}.