If `A xx B = {(p, q), (p, r), (m, q),(m, r)}`, find A and B.

Let A={p , q , r , s}\ a n d\ B={1,2,3}dot Which of the following relations from A to B is not function? (i) R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)} (ii) R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)} (iii) R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)} (iv) R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}

Let A = {p, q, r,s}, B = {p, q, r} and C = {q, s}. Find all sets X such that : X sub A and X cancel (sub) B .

Let A = {p, q, r,s}, B = {p, q, r} and C = {q, s}. Find all sets X such that : X sub B and X sub C

If anep,b neq,cner and {:|(p,b,c),(a,q,c),(a,b,r) |=0 , then find the value of p/(p-a)+q/(q-b)+r/(r-c)

Add: p ( p – q), q ( q – r) and r ( r – p)

Let A = (a,b,c) and B = (p,q,r) and a function f : A rarrB be given by f = ((a,q), b,r), (c,p)) Is f invertible ? If so, find f^-1 and verify that f^-1 of = I_A and f of^-1 = I_B where I_A and I_B are identity fucnctions on A and B respectively.

If A = { a, b,c}, B = {p,q}, find BxxA .