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

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

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

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.

A is a set containing n elements. A subset P_1 is chosen and A is reconstructed by replacing the elements of P_1 . The same process is repeated for subsets P_1,P_2,....,P_m with m>1 . The number of ways of choosing P_1,P_2,....,P_m so that P_1 cup P_2 cup....cup P_m=A is (a) (2^m-1)^(mn) (b) (2^n-1)^m (c) (m+n)C_m (d) none of these

If a, b, c form an A.P. and b, c, a form a G.P., show that (1)/(c ), (1)/(a), (1)/(b) form an A.P.

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:

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of P_(1)^(-1) + P_(2)^(-1) + P_(3)^(-1) is equal to-

If P = pressure, X = distance, t = time in the equation P = (a - t^2)/bx that what is the dimension of a/b

Find p (1), p (2) and p (3) for the polynomial p (x) = (x-1) (x+1)