Cartesian Product

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CARTESIAN PRODUCT Practice Exercise - 1 ___________________________________________________________________________________

Q-1.If A = { -1, 0, 1} and B = { 1, 2 }, then obtain A × B, B × A and A × A. Q-2.If A = { 1, 2}, B = { 2, 3, 4} and C = { 5, 6 }, the verify that A × (B ∩ C) is same as (A × B) ∩ (A × C) Q-3.If two ordered pairs (x + 1, 0) and (-3, 2y) are equal then find x and y. Q-4.If two ordered pairs (2x + 2, 9) and (6, 3y) are equal then find x and y. Q-5.If A = { 0, 1} , B = { 1, 2, 3 }and C ={ 3, 4 }, then obtain i. ii. iii. iv. v. vi.

A × B, B×A A×C B×C ( A ∪ B) × C ( A ∪ B) × (A ∪ C)

Q-6.If two ordered pairs (2x – y, x +1) and (5x – 3y, 2) are equal then find x and y. Q-7.The number of elements in A × A is 4 for a set A. If (1,5) ∈ A × A, then find the remaining elements of A × A Q-8.There are 9 elements in B × B for a set B. If (a, b) and (a, c) are two elements of B × B, then obtain B × B Q-9.If A = {x, y, z} and B = {u, v}, then obtain A × B, B × A and A × A. Q-10.If A = { -1, 0, 1} and B = { 2, -3 }, then draw the graph of A × B, B × A and A × A. Q-11.Draw the graph of (4, 0), (0, 4), (-1, 1), (9, -12), (5, -4) Q-12.There are 9 elements in B × B for a set B. If (1,-1) and (1, 2) are two elements of B × B, then obtain B × B Q-13.Represent A (4, 2) and B (4, -2) in the plane. Draw the line AB. Find the intersection of the line AB with X axis and also with the Y axis.

Q-14.There are 16 elements in B × B. If ( 1, 2) and (5,6) are the members of B, then find the remaining elements of B × B. Q-15.Plot the points X ( 2, 5) and Y ( 2, -5) and obtain the co ordinates of the point of the intersection of the line XY with the Y axis.

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