Exercise 1.5, NCERT Class 11 Maths Chapter 1 (Sets)

NCERT Class 11 Maths Chapter 1 (Sets) Exercise 1.5 Hindi — एनसीईआरटी कक्षा 11 गणित अध्याय 1 (समुच्चय) English — NCERT Class 11 Maths Chapter 1 (Sets) Spanish — NCERT Matemáticas de 11.º grado, Capítulo 1 (Conjuntos) Portuguese — NCERT Matemática do 11º ano, Capítulo 1 (Conjuntos) Bengali — এনসিইআরটি একাদশ শ্রেণি গণিত অধ্যায় 1 (সেট) Urdu — این سی ای آر ٹی جماعت 11 ریاضی باب 1 (مجموعے) Arabic — NCERT الصف الحادي عشر رياضيات الفصل 1 (المجموعات) French — NCERT Mathématiques de classe 11, chapitre 1 (Ensembles) German — NCERT Mathematik Klasse 11, Kapitel 1 (Mengen) Russian — NCERT 11 класс математика, глава 1 (Множества) Japanese — NCERT 11年生 数学 第1章（集合） Korean — NCERT 11학년 수학 1장 (집합) Turkish — NCERT 11. Sınıf Matematik Bölüm 1 (Kümeler) Indonesian — NCERT Matematika Kelas 11 Bab 1 (Himpunan) Vietnamese — NCERT Toán lớp 11, Chương 1 (Tập hợp) Thai — NCERT คณิตศาสตร์ ม.11 บทที่ 1 (เซต) Persian — NCERT ریاضی پایه یازدهم، فصل 1 (مجموعه‌ها) Marathi — एनसीईआरटी इयत्ता 11 गणित धडा 1 (समुच्चय) Tamil — NCERT 11ஆம் வகுப்பு கணிதம் அத்தியாயம் 1 (தொகுப்புகள்) Telugu — NCERT 11వ తరగతి గణితం అధ్యాయం 1 (సమూహాలు) Gujarati — NCERT ધોરણ 11 ગણિત અધ્યાય 1 (સમુચ્ચય) Punjabi — NCERT ਕਲਾਸ 11 ਗਣਿਤ ਅਧਿਆਇ 1 (ਸਮੂਹ) Malayalam — NCERT ക്ലാസ് 11 ഗണിതം അദ്ധ്യായം 1 (സമുച്ചയങ്ങൾ) Italian — NCERT Matematica classe 11, capitolo 1 (Insiemi) Dutch — NCERT Wiskunde klas 11, hoofdstuk 1 (Verzamelingen) EXERCISE 1.5 1. Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } andC = { 3, 4, 5, 6 }. Find (i) A′ (ii) B′ (iii) (A ∪ C)′ (iv) (A ∪ B)′(v) (A′)′(vi) (B – C)′ 2.If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = { f, g, h, a} 3. Taking the set of natural numbers as the universal set, write down the complementsof the following sets: (i) {x : x is an even natural number} (ii) { x : x is an odd natural number } (iii) {x : x is a positive multiple of 3} (iv) { x : x is a prime number } (v) {x : x is a natural number divisible by 3 and 5} (vi) { x : x is a perfect square } (vii) { x : x is a perfect cube} (viii) { x : x + 5 = 8 } (ix) { x : 2x + 5 = 9}. (x) { x : x greater than and equal to 7 } (xi) { x : x ∈ N and 2x + 1 greater than 10 } 4. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = {2, 4, 6, 8} and B = { 2, 3, 5, 7}. Verify that(i) (A ∪ B)′ = A′ ∩ B′ (ii) (A ∩ B)′ = A′ ∪ B′ 5. Draw appropriate Venn diagram for each of the following :(i) (A ∪ B)′, (ii) A′ ∩ B′, (iii) (A ∩ B)′, (iv) A′ ∪ B′ 6. Let U be the set of all triangles in a plane. If A is the set of all triangles with atleast one angle different from 60°, what is A′? 7. Fill in the blanks to make each of the following a true statement : (i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . . (iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .