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 \(A\subseteq U\), what is \(A'\cap A\)?If \(U=\{1,2,3,4,5,6,7,9\}\) and \(A=\{1,3,5,7,9\}\), what is \(A'\)?If \(U=\{1,2,3,4,5,6\}\) and \(A'=\{2,6\}\), what is \(A\)?If \(U=\{apple, banana, grapes, mango\}\) and \(A=\{apple, mango\}\), what is the complement \(A'\) of \(A\) with respect to \(U\)?If U = {2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 4, 5}, what is the largest element of A′, the complement of A in U?If U = {3, 6, 9, 12} and A = U, how many elements are in A′?If U = {blue, green, yellow, pink} and A = {green, pink}, what is A′?If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and T = {3, 6, 9}, which element is not in T′?If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 4, 6, 8}, how many elements of A' are less than 5?If U = {2, 4, 6, 8, 10} and A = {2, 10}, what is (A')'?If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 4, 6, 8}, what is A'?If U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 5, 7}, and B = A', what is B'?If U = {5, 10, 15, 20, 25, 30} and A = {10, 20, 30}, what is the complement A' relative to U?If U = {1, 2, 3, 4, 5, 6} and A = {1, 6}, what is A' ∩ A?If U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 3}, and B = {3, 4, 5}, what is (A ∪ B)'?If the universal set is U = {x : x is a digit} and A = {2, 4, 6, 8}, what is A′?If U = {1,2,3,4,5,6} and A = {1,3,5}, how many elements are in A′?If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, which element belongs to A′?Let U = {x ∈ N : x ≤ 10}, and let A be the set of prime numbers in U. What is A′?If U = {0, 1, 2, 3, 4, 5}, A = {0, 2, 4}, and B = {1, 3, 5}, what is A′, the complement of A with respect to U?