Mathematics
Operations on Sets (Union, Intersection, Difference)
समुच्चयों पर संक्रियाएँ (संघ, प्रतिच्छेद और अंतर)
In Class 11 Mathematics, the Sets chapter introduces Operations on Sets (Union, Intersection, Difference). Students learn to combine sets using union, identify common elements through intersection, and find elements belonging to one set but not another using difference. They also apply these operations to subset relations, Venn diagrams, and problems involving the number of elements in sets.
Practice questions
If A = [0, 6] and B = (2, 4), what is A \ B?If \(A=\{x: x^2=9\}\) and \(B=\{x: x^2-4=0\}\), what is \(A\cup B\)?If \(A=\{x:\,x^2-5x+6=0\}\) and \(B=\{x:\,x^2-3x+2=0\}\), what is \(A\cap B\)?Which option represents the set equal to A − (A ∩ B)?Which expression is equal to (A ∪ B) − A?If A = {1, 2, 3} and B = {4, 5}, what is A ∩ B?If A ∩ B = ∅, n(A) = 9, and n(B) = 11, what is n(A ∪ B)?If U = {1, 2, ..., 9}, A = {2, 4, 6, 8}, and B = {1, 2, 3, 4}, what is A′ ∩ B?If A = {1, 2, 3, 4, 5} and B = {2, 4, 6}, what is (A ∪ B) − (A ∩ B)?If A − B = {1, 5}, B − A = {7}, and A ∩ B = {2, 3}, what is A ∪ B?If A = {x : x is a vowel in the English alphabet} and B = {a, b, c, d, e}, what is A ∩ B?If A = {x : x is a prime number and x < 15} and B = {x : x is an odd number and x < 15}, what is A − B?If A = {2, 3, 5, 7} and B = {5, 7, 11, 13}, how many elements are in A ∪ B?If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, which of the following statements is correct?If \(A\cup B=A\), what is the correct conclusion?For a universal set \(U\), what is \(A\cup A'\) equal to?For a universal set \(U\), what is \(A\cap A'\) equal to?If \(A=\{1,2,3,4,5\}\), \(B=\{2,3,6\}\), and \(C=\{3,4,7\}\), what is \(A\cap(B\cup C)\)?If \(A=\{1,2,4,8\}\), \(B=\{2,4,6\}\), and \(C=\{4,6,8\}\), what is \((A\cap B)\cup C\)?If \(A=\{x:x\text{ is a multiple of }3,\ 1\le x\le20\}\) and \(B=\{x:x\text{ is a multiple of }5,\ 1\le x\le20\}\), what is \(A\cap B\)?