If P={a,b,c} and Q={r},form the set `P times Q`

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

If P = {A,B,C,D} and Q = {a,b,c,d} then P and Q are "______" set (equal/equivalent)

If P" "=" "{a ," "b ," "c} and A xxB" "=" "{(p ," "q)," "(p ," "r)," "(m ," "q)," "(m ," "r)} Q" "=" "{r} , form the sets P xxQ" "a n d" "Q xxP . Are these two products equal?

If a,b,c denote the sides of triangleABC , show that the value of the expression, a^3 (p-q)(p-r)+b^2(q-r)+b^2(q-r)(q-p)+c^2(r-p)(r-q) cannot be negative where p,q,r in R .

If a,b,c be respectively the sum of first p,q,r terms of an A.P. then a/p(q-r) + b/q(r-p) + c/r(p-q) equals :

If P and Q are sets having 5 elements in com-mon, then how many elements do P xx Q and Q xx P have in common ?