NCERT class 11 maths chapter 1 Sets
Question 1:Find the union of each of the following pairs of sets : (i) X = {1, 3, 5} Y = {1, 2, 3} (ii) A = [ a, e, i, o, u} B = {a, b, c} (iii) A = {x : x is a natural number and multiple of 3} B = {x : x is a natural number less than 6} (iv) A = {x : x is a natural number and 1 < x ≤ 6 } B = {x : x is a natural number and 6 < x < 10 } (v) A = {1, 2, 3}, B = f
Exercise 1.4 maths class 11 Chapter 1 Sets
Question 2:Let A = { a, b }, B = {a, b, c}. Is A Ì B ? What is A È B ?
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Question 3:If A and B are two sets such that A Ì B, then what is A È B ?
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Question 4: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 È B (ii) A È C (iii) B È C (iv) B È D (v) A È B È C (vi) A È B È D (vii) B È C È D
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Question 5:Find the intersection of each pair of sets of question 1 above.
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Question 6:If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15}and D = {15, 17}; find (i) A Ç B (ii) B Ç C (iii) A Ç C Ç D (iv) A Ç C (v) B Ç D (vi) A Ç (B È C) (vii) A Ç D (viii) A Ç (B È D) (ix) ( A Ç B ) Ç ( B È C ) (x) ( A È D) Ç ( B È C)
class 11 Maths NCERT Solutions Chapter 1 Sets Exercise 1.4
Question 7:If A = {x : x is a natural number }, B = {x : x is an even natural number} C = {x : x is an odd natural number}andD = {x : x is a prime number }, find (i) A Ç B (ii) A Ç C (iii) A Ç D (iv) B Ç C (v) B Ç D (vi) C Ç D
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Question 8: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) { a, e, i, o, u } and { c, d, e, f } (iii) {x : x is an even integer } and {x : x is an odd integer}
shown in Fig 1.9.EXERCISE 1.41. Find the union o
Question 9: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
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Question 10:If X= { a, b, c, d } and Y = { f, b, d, g}, find (i) X – Y (ii) Y – X (iii) X Ç Y
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Question 11:If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?
Question 12: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) { a, e, i, o, u } and { a, b, c, d }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.
