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Subjects

Mathematics

Complement of a Set and Its Properties

समुच्चय का पूरक और उसके गुणधर्म

In Class 11 Mathematics, under the chapter Sets, Complement of a Set and Its Properties explains the elements of a universal set that are not in a given set. Students find complements using notation such as A′, determine complements from given sets, and understand basic relationships between a set, its complement, and the universal set.

Practice questions

If \(U=\{0,1,2,3,4,5\}\) and \(A=\{0,1,5\}\), what is \(n(A')\)?If U is the set of all students in a class and G is the set of students wearing glasses, what does G′ represent?If A ⊆ U, then A ∪ A′ is equal to what?If A ⊆ U, then what is A ∩ A′ equal to?If U = {1, 2, 3, 4, 5, 6, 8} and A = {2, 4, 6, 8}, what is A′?If U = {1, 2, 3, 4} and A′ = {1, 4}, what is A?If U = {sun, moon, star} and A = {sun}, what is A′, the complement of A?If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 2, 3, 4}, what is the smallest number in A′?If U = {1, 2, 3, 4, 5} and A = {1, 2, 3, 4, 5}, how many elements are in A'?If U = {black, white, red, yellow} and A = {black, yellow}, what is A′, the complement of A in U?If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and M = {2, 4, 6, 8, 10}, which element belongs to M'?If U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 3, 5, 7}, how many elements of A' are less than 4?If U = {1, 2, 3, 4, 5} and A = {1, 5}, what is (A')'?If U = {all digits} and A = {0, 2, 4, 6, 8}, what is A'?If U = {1,2,3,4,5,6}, A = {1,2,3} and B = A', what is B'?If U = {2,4,6,8,10,12} and A = {4,8,12}, what is A'?If U = {1,2,3,4,5,6,7,8} and A = {2,4,8}, what is A'?If U = {a, b, c, d, f} and C = {a, c, f}, which element is in C', the complement of C relative to U?If \(U=\{0,1,2,3,4,5,6\}\) and \(A=\{1,3,5\}\), what is \(n(A')\)?If \(U\) is the set of all books in a library and \(H\) is the set of Hindi books, what does \(H'\) represent?