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

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

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

If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^(2) – 12x + q = 0 , where a,b,c,d form a G.P Prove that (q+q):(q-p) = 17 : 15

If a,b,c are in AP and p is the AM between a and b and q is the AM between b and c, then show that b is the AM between p and q.

If A={p,q,r} and B={q,p,r}. Then check whether A=B or not.

If P, Q and R are the subsets of a set A, then prove that Rxx(P^(c )uuQ^(c ))^(c )=(RxxP)nn(RxxQ) .

If a, b, c are in A.P., p, q, r are in HP and ap, bq, cr are in GP, then (P)/(r)+(r)/(P) is equal to

Two positive integers p and q can be expressed as p = ab^(2) and q = a^(3)b, a and b being prime numbers. LCM of p and q is :

If p, q, r are real numbers then: