 Hi and welcome to the session. I am Priyanka and let us discuss the question. It is given to us that the Cartesian product A cross A has 9 elements among which are found minus 1 0 and 0 1. Find set A and remaining elements of A cross A. Let us start with our solution and write down what is given to us. It is given to us that the number of elements A cross A are having are 9 and few of the ordered pair are given to us in the question. As we know that number of elements A will be having will be multiplied by the number of elements A will be having then only we will get the number of elements in A cross A. Am I right? Number of elements A are having are 9. So number of elements A will be having are square root of 9 that is 3 since it cannot be negative. So we found out that number of elements sets A are having is equal to 3 which completes one of the part of our question. Right? Now we need to find out the remaining elements of A cross A. First of all let us find out A cross A that we need to find out when we will be knowing the elements which are present in A since the number of elements present in A are 3 and the ordered pair which are given to us we can list out 3 distinct numbers from this we can have minus 1, 0 and 1. So the number of elements A are having are minus 1, 0 and 1. So A cross A will be having minus 1 with minus 1 first minus 1 with 0 minus 1 with 1 then 0 with minus 1 and 0 with 1 and of course 0 with 0. Similarly 1 will be paired with first of all minus 1 then 1 will be paired with 0 and 1 will be paired with 1 itself. So these are the 9 elements which are present in A cross A. Since in the question we were given minus 1, 0 that means this element and 0, 1 that means this element. So the remaining elements are of A cross A are minus 1 minus 1 minus 1, 0 minus 1, 0 with 0, 1 with minus 1, 1 with 0 and 1 with 1 that means 7 of the elements as 2 were given to us. So this becomes the answer of our second part and also number of elements A were having 3 and that is minus 1, 0 and 1. So this completes the entire answer that was required to be answered. I hope you enjoyed this session. Bye for now.