ClassesClass 11MathematicsChapter 2Exercise 2.1

Chapter 2

Exercise 2.1

10Questions

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Exercise 2.1 All Exercises

Problems

10 total

If / 2 5 113 3 3 3 x ,y - ,   + =       , find the values of x and y.

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A\timesB).

If G = {7, 8} and H = {5, 4, 2}, find G \times H and H \times G.

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 \times Q = {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A \times 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 \times (B \cap φ) = φ.

If A = {-1, 1}, find A \times A \times A.

If A \times B = {( a, x),(a , y), (b, x), (b, y)}. Find A and B.

Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that (i) A \times (B \cap C) = (A \times B) \cap (A \times C). (ii) A \times C is a subset of B \times D.

Let A = {1, 2} and B = {3, 4}. Write A \times B. How many subsets will A \times B have? List them.

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A \times B, find A and B, where x, y and z are distinct elements.

The Cartesian product A \times A has 9 elements among which are found (-1, 0) and (0,1). Find the set A and the remaining elements of A \times A.