Test Cartesian Product

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PEARL ACADEMY Anjali Apartment Near Sapna Hall Makarpura road Vadodara-390 009 Cell:-9825283326 9426765811

CARTESIAN PRODUCT TEST – l Total marks: 25 Time allotted: 1 hour ___________________________________________________________________________________

Q-1.If A ={-1, 1,2} , B = { 0, 2, 3 }and C ={ 3, 5 }, then obtain i. ii. iii. iv. v. vi.

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

Q-2.If A = {-1,1}, B = { 1, 3, 6} and C = { 6, 7 }, the verify that A × (B ∩ C) [2] is same as (A × B) ∩ (A × C) Q-3.If two ordered pairs (2x + 3, 18) and (11, 3y) are equal then find x and y. [2] Q-4.The number of elements in A × A is 4 for a set A. If (1,3) ∈ A × A, then [2] find the remaining elements of A × A Q-5.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

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Q-6.Represent A (6, 3) and B (6, -3) in the plane. Draw the line AB. [3] Find the intersection of the line AB with X axis and also with the Y axis. Q-7.There are 16 elements in B × B. If (1, 2) and (5, 6) are the members of B, [3] then find the remaining elements of B × B. Q-8.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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Q-9.If the two ordered pairs (3x-4, x-1) and (2x +5, 2) are equal then find x and y.

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