If P={1,2}, form the set `P xx P xx P`

If P={a,b,c} and Q={r}, form the sets P xx Q and Q xx P .

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P= {m, n} and Q = {n, m}, then P xx Q= {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A xx B is a non-empty set of ordered pairs (x, y) such that x in A and y in B. (iii) If A={1,2}, B={3,4} then A xx (B cap phi)=phi

p(x) =x +2. Find p(1), p (2),p (-1) and p (-2). Which among 1,2,-1 and -2 becomes the 0 of p (x) ?

Let P be the set of all subsets of a given set X. Show that uu:P xx P to P given by (A,B) to A uuB and nn:PxxP to P given by (A,B) to A nnB are binary operations on the set P.

If P ={ a, b, c} and Q = {r} , find P xx Q .

A is a set containing n elements. A subset P_1 of A is chosen. The set A is reconstructed by replacing the elements P Next, a of subset P_2 of A is chosen and again the set is reconstructed by replacing the elements of P_2 , In this way, m subsets P_1, P_2....,P_m of A are chosen. The number of ways of choosing P_1,P_2,P_3,P_4...P_m

If 9 times the 9th term of an A.P. is equal to 13 times the 13^(th) term, then 22nd term of the A.P. is :

Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx 3 and p xx k , respectively. If n = p, then the order of the matrix 7X-5Z is:

If p_1p_2,p_3 are the lengths of altitudes of a triangle from the vertices A, B, C and Delta the area fo the triangle the 1/p_1 + 1/p_2 - 1/p_3 =

If 100 times the 100th of an A.P. with non-zero common difference equals the 50 times its 50th term, then the 150th term of this A.P. is :