Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

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

Which pair of sets is always disjoint?If n(U) = 25, what is n(A ∪ Aᶜ)?For any set A, what is n(A ∩ Aᶜ)?If U is the universal set and A is a subset of U, what is U − A equal to?If U = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3, 4}, what is U − A?If U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 3, 5, 7}, which set is Aᶜ?If U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} and A = {Saturday, Sunday}, what does Aᶜ represent?Which of the following statements is false?If U = {1, 2, 3, 4, 5} and Aᶜ = {2, 5}, what is A ∩ Aᶜ?If U = {1, 2, 3, 4, 5} and Aᶜ = {2, 5}, what is A ∪ Aᶜ?If 3 ∈ U and 3 ∉ A, which conclusion is correct?If 4 ∈ Aᶜ, which statement is correct?If U = {x : x ∈ ℕ, 1 ≤ x ≤ 5} and A = {x : x < 4}, what is Aᶜ?If U = {x : x ∈ ℕ, x ≤ 8} and A = {1, 3, 5, 7}, what is Aᶜ?Let the universal set be U = [0, 10] and A = [0, 4]. What is the complement Aᶜ of A with respect to U?Let the universal set be U = [-2, 3] and A = (-1, 2]. What is the complement Aᶜ of A with respect to U?In a class, U is the set of all students and A is the set of students who play cricket. What does Aᶜ represent?In a survey, it is given that \(n(U)=40\) and \(n(A^c)=15\). What is \(n(A)\)?If A is a proper subset of the universal set U, which statement about A^c is true?If \(A=\{1,2\}\), \(U_1=\{1,2,3\}\), and \(U_2=\{1,2,3,4\}\), why is the complement of A different in the two cases?