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
Which element belongs to the power set of A = {1, 2, 3}?If U = {1, 2, 3, 4, 5} and A = {2, 4}, which of the following is a subset of the complement of A?If \(A\subseteq B\), which statement about their complements is true?If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is the complement A'?If U = {a, b, c, d} and B = {a, d}, what is B′, the complement of B?If A ⊆ U, then A′ is a subset of which set?If the universal set U = {1, 2, 3, 4} and A = U, what is A′, the complement of A?If \(U=\{0,1,2,3,4\}\) and \(A=\{0,2,4\}\), how many elements are in \(A'\)?If U = {1, 2, 3, 4, 5, 6} and E = {2, 4, 6}, what is E′?If U = {a, b, c, d} and A = {a, c}, what is A′?Given U = {1, 2, 3, 4, 5} and A′ = {4, 5}, what is A?If U = {1, 2, 3, 4, 5, 6, 7} and A = {1, 3, 5, 7}, what is A′, the complement of A relative to U?With respect to the universal set U, in which case is the complement A′ equal to U?If U = {red, blue, green} and A = {red}, what is A', the complement of A in U?If U = {1, 2, 3, 4}, A = {1, 4}, and B = A', what is B?Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {3, 6, 9}, which element belongs to A', the complement of A?If \(U=\{a,e,i,o,u\}\) and \(A=\{a,i,u\}\), what is \(A'\)?The universal set \(U\) is mainly used to determine which of the following?If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,5,7\}\), what is \(A'\)?If U = {a, b, c, d, e} and B = {b, e}, which element does not belong to the complement B′?