Plus One Math's Solution Ex 1.5 Chapter 1 Sets

 

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For your convenience, we have presented the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.5 in the form of images along with its solution. We hope our effort will help you in comprehending the concepts with ease.

Board	SCERT, Kerala
Text Book	NCERT Based
Class	Plus One
Subject	Math's Textbook Solution
Chapter	Chapter 1
Exercise	Ex 1.5
Chapter Name	Sets
Category	Plus One Kerala

Kerala Syllabus Plus One Math's Textbook Solution Chapter  1 Sets Exercises 1.5

Chapter  1  Sets Textbook Solution

• Exercises 1.1
• Exercises 1.2
• Exercises 1.3
• Exercises 1.4
• Exercises 1.5
• Exercises 1.6
• Miscellaneous Exercise Chapter 1

Kerala plus One maths NCERT textbooks, we provide complete solutions for the exercise and answers provided at the end of each chapter. We also cover the entire syllabus given by the Board of secondary education, Kerala state.

Chapter  1  Sets Exercise   1.5

Question 1:

Let U ={1, 2, 3; 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find

(i) 

(ii) 

(iii) 

(iv) 

(v) 

(vi) 

Solution 1:

U ={1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {1, 2, 3, 4}

B = {2, 4, 6, 8}

C = {3, 4, 5, 6}

(i) 

(ii) 

(iii) 



(iv) 



(v) 

(vi) 



Question 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}

Solution 2:

U = {a, b, c, d, e, f, g, h}

(i) A = {a, b, c}



(ii) B = {d, e, f, g}



(iii) C = {a, c, e, g}



(iv) D = {f, g, h, a}



Question 3:

Taking the set of natural numbers as the universal set, write down the complements of 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 perfect cube}

(viii) {x: x + 5 = 8}

(ix) {x: 2x + 5 = 9}

(x) {x: x ≥ 7}

(xi) {x: x ∈ N and 2x + 1 > 10}

Solution 3:

U = N: Set of natural numbers

(i) {x: x is an even natural number}´ = {x: x is an odd natural number}

(ii) {x: x is an odd natural number}´ = {x: x is an even natural number}

(iii) {x: x is a positive multiple of 3}´ = {x: x ∈ N and x is not a multiple of 3}

(iv) {x: x is a prime number}´ ={x: x is a positive composite number and x = 1}

(v) {x: x is a natural number divisible by 3 and 5}´ = {x: x is a natural number that is not divisible by 3 or 5}

(vi) {x: x is a perfect square}´ = {x: x ∈ N and x is not a perfect square}

(vii) {x: x is a perfect cube}´ = {x: x ∈ N and x is not a perfect cube}

(viii) {x: x + 5 = 8}´ = {x: x ∈ N and x ≠ 3}

(ix) {x: 2x + 5 = 9}´ = {x: x ∈ N and x ≠ 2}

(x) {x: x ≥ 7}´ = {x: x ∈ N and x

(xi) {x: x ∈ N and 2x + 1 > 10}´ = {x: x ∈ N and x ≤ 9/2}

Question 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)  (ii) 

Solution 4:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {2, 4, 6, 8}, B = {2, 3, 5, 7}

(i)



(ii)



 

Question 5:

Draw appropriate Venn diagram for each of the following:

(i) 

(ii) 

(iii) 

(iv) 

Solution 5:

(i) 



(ii) 



(iii) 



(iv) 



 

Question 6:

Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is?

Solution 6:

is the set of all equilateral triangles.

Question 7:

Fill in the blanks to make each of the following a true statement:

(i) 

(ii) Φ′ ∩ A = …

(iii) 

(iv) 

Solution 7:

(i) 

(ii) Φ′ ∩ A = U ∩ A = A

∴ Φ′ ∩ A = A

(iii) A ∩ A′ = Φ

(iv) U′ ∩ A = Φ ∩ A = Φ

∴ U′ ∩ A = Φ

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Chapter 1: Sets EX 1.5 Solution

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Plus One Math's Chapter Wise Textbook Solution PDF Download

            Plus One Math's Part I

• Chapter 1: Sets
• Chapter 2: Relations and Functions
• Chapter 3: Trigonometric Functions
• Chapter 4: Principle of Mathematical Induction
• Chapter 5: Complex Numbers and Quadratic Equations
• Chapter 6: Linear Inequalities
• Chapter 7: Permutation and Combinations
• Chapter 8: Binomial Theorem



             Plus One Math's Part II

• Chapter  9: Sequences and Series
• Chapter 10: Straight Lines
• Chapter 11: Conic Sections
• Chapter 12: Introduction to Three Dimensional Geometry
• Chapter 13: Limits and Derivatives
• Chapter 14: Mathematical Reasoning
• Chapter 15: Statistics
• Chapter 16: Probability

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