Advertisements
Advertisements
प्रश्न
Find A × B, A × A and B × A :
A = {2, −2, 3} and B = {1, −4}
उत्तर
A = {2, −2, 3} and B = {1, −4}
A × B = {2, −2, 3} × {1, −4}
= {(2, 1) (2, −4) (−2, 1) (−2, −4) (3, 1) (3, −4)}
A × A = {2, −2, 3} × {2, −2, 3}
= {(2, 2) (2, −2) (2, 3) (−2, 2) (−2, −2) (−2, 3) (3, 2) (3, −2) (3, 3)}
B × A = {1, −4} × {2, −2, 3}
= {(1, 2) (1, −2) (1, 3) (−4, 2) (−4, −2) (−4, 3)}
APPEARS IN
संबंधित प्रश्न
Find A × B, A × A and B × A :
A = B = {p, q}
Find A × B, A × A and B × A:
A = {m, n}; B = Φ
If A = {5, 6}, B = {4, 5, 6}, C = {5, 6, 7}, Show that A × A = (B × B) ∩ (C × C)
Given A = {1, 2, 3}, B = {2, 3, 5}, C = {3, 4} and D = {1, 3, 5}, check if (A ∩ C) × (B ∩ D) = (A × B) ∩ (C × D) is true?
Let A = {x ∈ W | x < 2}, B = {x ∈ N | 1 < x < 4} and C = {3, 5}. Verify that A × (B ∪ C) = (A × B) ∪ (A × C)
Let A = {x ∈ W | x < 2}, B = {x ∈ N | 1 < x < 4} and C = {3, 5}. Verify that A × (B ∩ C) = (A × B) ∩ (A × C)
Multiple Choice Question :
If n(A × B) = 6 and A = {1, 3} then n(B) is ________
Multiple Choice Question :
If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true ______
The Cartesian product A × A has 9 elements among which (– 1, 0) and (0, 1) are found. Find the set A and the remaining elements of A × A
Let A = {1, 2} and B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify whether A × C is a subset of B × D?
