Plus One Math's Solution Ex 1.4 Chapter 1 Sets

 

Keralanotes expert tutors have prepared NCERT Solution for Class 11 Maths Chapter 1 Exercise 1.4 according to the CBSE Board guidelines. The solutions to all questions given in the textbook pertaining to different topics are presented here in an easy manner. Free PDF for Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.4 can be downloaded on the keralanotes website to enhance your exam preparations.

We teach maths in a completely different way; it is not just the elimination of errors. We believe in teaching maths with a lot of fun !!! The method of Keralanotes teaches conceptual clarity which gives the students the confidence to face competitive exams

Board SCERT, Kerala
Text Book NCERT Based
Class Plus One 
Subject Math's Textbook Solution
Chapter Chapter 1
Exercise Ex 1.4
Chapter Name Sets
Category Plus One Kerala


Kerala Syllabus Plus One Math's Textbook Solution Chapter  1 Sets Exercises 1.4


Chapter  1  Sets Textbook Solution



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   1.4

    If X = {abcd} and Y = {fbd, g}, find

    (i) X – Y

    (ii) Y – X

    (iii) X ∩ Y

    (i)X-Y={a,c}

    Elements present in X but not in Y

    (ii)Y-X={f,g}

    Elements present in Y but not in X

    (iii)X∩Y={b,d}

    elements common to X  and Y

    If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

    Q is the subset of R.

    set of real numbers other than rational numbers are irrational numbers.

    R-Q=irrational numbers

    State whether each of the following statement is true or false. Justify your answer.

    (i) {2, 3, 4, 5} and {3, 6} are disjoint sets.

    (ii) {aeiou } and {abcd} are disjoint sets.

    (iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.

    (iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.

    (i) False

    As 3 ∈ {2, 3, 4, 5}, 3 ∈ {3, 6}

    ⇒ {2, 3, 4, 5} ∩ {3, 6} = {3}

    (ii) False

    As a ∈ {aeiou}, a ∈ {abcd}

    ⇒ {aeiou } ∩ {abcd} = {a}

    (iii) True

    As {2, 6, 10, 14} ∩ {3, 7, 11, 15} = Φ

    (iv) True

    As {2, 6, 10} ∩ {3, 7, 11} = Φ

    Find the union of each of the following pairs of sets:

    (i) X = {1, 3, 5} Y = {1, 2, 3}

    (ii) A = {aeiou} B = {abc}

    (iii) A = {xx is a natural number and multiple of 3}

    B = {xx is a natural number less than 6}

    (iv) A = {xx is a natural number and 1 < x ≤ 6}

    B = {xx is a natural number and 6 < x < 10}

    (v) A = {1, 2, 3}, B = Φ

    (i) X = {1, 3, 5} Y = {1, 2, 3}

    X∪ Y= {1, 2, 3, 5}

    (ii) A = {aeiou} B = {abc}

    A∪ B = {abceiou}

    (iii) A = {xx is a natural number and multiple of 3} = {3, 6, 9 …}

    As B = {xx is a natural number less than 6} = {1, 2, 3, 4, 5, 6}

    A ∪ B = {1, 2, 4, 5, 3, 6, 9, 12 …}

    ∴ A ∪ B = {xx = 1, 2, 4, 5 or a multiple of 3}

    (iv) A = {xx is a natural number and 1 x ≤ 6} = {2, 3, 4, 5, 6}

    B = {xx is a natural number and 6 x

    A∪ B = {2, 3, 4, 5, 6, 7, 8, 9}

    ∴ A∪ B = {x: x ∈ N and 1 x

    (v) A = {1, 2, 3}, B = Φ

    A∪ B = {1, 2, 3}

    Let A = {ab}, B = {abc}. Is A ⊂ B? What is A ∪ B?

    Here, A = {ab} and B = {abc}

    Yes, A ⊂ B.

    A∪ B = {abc} = B

    If A and B are two sets such that A ⊂ B, then what is A ∪ B?

    If A and B are two sets such that A ⊂ B, then A ∪ B = B.

    If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

    (i) A ∪ B

    (ii) A ∪ C

    (iii) B ∪ C

    (iv) B ∪ D

    (v) A ∪ B ∪ C

    (vi) A ∪ B ∪ D

    (vii) B ∪ C ∪ D

    1.{1,2,3,4,5,6}

    2.{1,2,3,4,5,6,7,8}

    3.{3,4,5,6,7,8}

    4.{3,4,5,6,7,8,9,10}

    5.{1,2,3,4,5,6,7,8}

    6.{1,2,3,4,5,6,7,8,9,10}

    7.{3,4,5,6,7,8,9,10}

    Find the intersection of each pair of sets:

    (i) X = {1, 3, 5} Y = {1, 2, 3}

    (ii) A = {aeiou} B = {abc}

    (iii) A = {xx is a natural number and multiple of 3}

    B = {xx is a natural number less than 6}

    (iv) A = {xx is a natural number and 1 x ≤ 6}

    B = {xx is a natural number and 6 x

    (v) A = {1, 2, 3}, B = Φ

    (i) X = {1, 3, 5}, Y = {1, 2, 3}

    X ∩ Y = {1, 3}

    (ii) A = {aeiou}, B = {abc}

    A ∩ B = {a}

    (iii) A = {xx is a natural number and multiple of 3} = (3, 6, 9 …}

    B = {xx is a natural number less than 6} = {1, 2, 3, 4, 5}

    ∴ A ∩ B = {3}

    (iv) A = {xx is a natural number and 1 < x ≤ 6} = {2, 3, 4, 5, 6}

    B = {xx is a natural number and 6 < x < 10} = {7, 8, 9}

    A ∩ B = Φ

    (v) A = {1, 2, 3}, B = Φ

    A ∩ B = Φ

    If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

    (i) A ∩ B

    (ii) B ∩ C

    (iii) A ∩ C ∩ D

    (iv) A ∩ C

    (v) B ∩ D

    (vi) A ∩ (B ∪ C)

    (vii) A ∩ D

    (viii) A ∩ (B ∪ D)

    (ix) (A ∩ B) ∩ (B ∪ C)

    (x) (A ∪ D) ∩ (B ∪ C)

    (i) A ∩ B = {7, 9, 11}

    (ii) B ∩ C = {11, 13}

    (iii) A ∩ C ∩ D = { A ∩ C} ∩ D = {11} ∩ {15, 17} = Φ

    (iv) A ∩ C = {11}

    (v) B ∩ D = Φ

    (vi) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

    = {7, 9, 11} ∪ {11} = {7, 9, 11}

    (vii) A ∩ D = Φ

    (viii) A ∩ (B ∪ D) = (A ∩ B) ∪ (A ∩ D)

    = {7, 9, 11} ∪Φ = {7, 9, 11}

    (ix) (A ∩ B) ∩ (B ∪ C) = {7, 9, 11} ∩ {7, 9, 11, 13, 15} = {7, 9, 11}

    (x) (A ∪ D) ∩ (B ∪ C) = {3, 5, 7, 9, 11, 15, 17) ∩ {7, 9, 11, 13, 15}

    = {7, 9, 11, 15}

    If A = {x: x is a natural number}, B ={x: x is an even natural number}

    C = {x: x is an odd natural number} and D = {x: x is a prime number}, find

    (i) A ∩ B

    (ii) A ∩ C

    (iii) A ∩ D

    (iv) B ∩ C

    (v) B ∩ D

    (vi) C ∩ D

    A = {x: x is a natural number} = {1, 2, 3, 4, 5 …}

    B ={x: x is an even natural number} = {2, 4, 6, 8 …}

    C = {x: x is an odd natural number} = {1, 3, 5, 7, 9 …}

    D = {x: x is a prime number} = {2, 3, 5, 7 …}

    (i) A ∩B = {x: x is a even natural number} = B

    (ii) A ∩ C = {x: x is an odd natural number} = C

    (iii) A ∩ D = {x: x is a prime number} = D

    (iv) B ∩ C = Φ

    (v) B ∩ D = {2}

    (vi) C ∩ D = {x: x is odd prime number}

    Which of the following pairs of sets are disjoint

    (i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}

    (ii) {aeiou}and {cdef}

    (iii) {x: x is an even integer} and {x: x is an odd integer}

    (i) {1, 2, 3, 4}

    {xx is a natural number and 4 ≤ x ≤ 6} = {4, 5, 6}

    Now, {1, 2, 3, 4} ∩ {4, 5, 6} = {4}

    Therefore, this pair of sets is not disjoint.

    (ii) {aeiou} ∩ (cdef} = {e}

    Therefore, {aeiou} and (cdef} are not disjoint.

    (iii) {xx is an even integer} ∩ {xx is an odd integer} = Φ

    Therefore, this pair of sets is disjoint.

    If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20},

    C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find

    (i) A – B

    (ii) A – C

    (iii) A – D

    (iv) B – A

    (v) C – A

    (vi) D – A

    (vii) B – C

    (viii) B – D

    (ix) C – B

    (x) D – B

    (xi) C – D

    (xii) D – C

    (i)A-B={3,6,9,15,18,21}  

    Elements present in A,but not in B

    (ii)A-C={3,9,15,18,21}

    Elements present in A but not in C

    (iii)A-D={3,6,9,12,18,21}

    Elements present in A but not in D

    (iv)B-A={4,8,16,20}

    Elements present in B but not in A

    (v)C-A={2,4,8,10,14,16}

    Elements present in C but not in A

    (vi)D-A={5,10,20}

    Elements present in D but not in A

    (vii)B-C={20}

    Elements present in B but not in C

    (viii)B-D={4,8,12,16}

    Elements present in B but not in D

    (ix)C-B={2,6,10,14}

    Elements present in C but not in B

    (x)D-B={5,10,15}

    Elements present in D but not in B

    (xi)C-D={2,4,6,8,12,14,16}

    Elements present in C but not in D

    (xii)D-C={5,15,20}

    Elements present in D but not in C

     

PDF Download

Chapter 1: Sets EX 1.4 Solution


Chapter 1: Sets EX 1.4 Solution- Preview

PREVIEW

Plus One Math's Chapter Wise Textbook Solution PDF Download


Feel free to comment and share this article if you found it useful. Give your valuable suggestions in the comment session or contact us for any details regarding HSE Kerala Plus one syllabus, Previous year question papers, and other study materials.

Plus One Maths Related Links



Other Related Links


We hope the given HSE Kerala Board Syllabus Plus One Maths Textbook solutions Chapter Wise Pdf Free Download in both English Medium and Malayalam Medium will help you. 

If you have any queries regarding Higher Secondary Kerala Plus One   NCERT syllabus, drop a comment below and we will get back to you at the earliest.

Keralanotes.com      Keralanotes.com      Keralanotes.com      Keralanotes.com      Keralanotes.com      

#buttons=(Accept !) #days=(30)

Our website uses cookies to enhance your experience. know more
Accept !
To Top

Students Community Join Now !