NCERT Solutions for Class 11 Maths Chapter 1 Sets Ex 1.5
Get Free NCERT Solutions for Class 11 Maths Chapter 1 Sets Ex 1.5 PDF in Hindi and English Medium. Sets Class 11 Maths NCERT Solutions are extremely helpful while doing your homework. Sets Exercise 1.5 Class 11 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 1 Class 11 Sets Ex 1.5 provided in NCERT Textbook.
Class 11 Maths NCERT Solutions Chapter 1 Sets Ex 1.5
Q.1: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}
X = {1, 2, 3, 4, 5}
Y = {2, 4, 6} and
Z = {2, 4, 5, 6}.
Find the following sets:
(i). X’
(ii). Y’
(iii). (X∪Y)′
(iv). (X∪Z)′
(v). (X′)‘
(vi). (Y–Z)′
Solution:
Q.2: If U = {a, b, c, d, e, f, g, h}, find the complements of the given sets:
(i). W = {a, b, c}
(ii). X = {d, e, f, g}
(iii). Y = {a, c, e, g}
(iv). Z = {f, g, h, a}
Solution:
Q.3: Take natural numbers as the universal set. Write the complements of the given sets:
(i). A = {y: y is an even natural number}
(ii). B = {y: y is an odd natural number}
(iii). C = {y: y is a positive multiple of 3}
(iv). D = {y: y is a prime number}
(v). E = {y: y is a natural number divisible by 3 and 5}
(vi). F = {y: y is a perfect square}
(vii). G = {y: y is perfect cube}
(viii). H = {y: y + 5 = 8}
(ix). I = {y: 2y + 5 = 9}
(x). J = {y: y ≥ 7}
(xi). K = {y: y ∈ N and 2y + 1 > 10}
Solution:
Q.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′
Solution:
Q.5: Draw the Venn diagrams for the following:
(i). (A∪B)′
(ii). A′∩B′
(iii). (A∩B)′
(iv). A′∪B′
Solution:
Q.6: Let U be the universal set that is the set of all triangles in a plane. If X is the set of all triangles with at least one angle different from 60∘, what is X’ ?
Solution:
Q.7: Complete the given statements using proper symbols:
(i). A∪A′
(ii). Ø ∩A
(iii). A∩A′
(iv). U′∩A
Solution:
