NCERT Solutions for Class 11 Maths Chapter 1 Sets — Exercise 1.3

NCERT class 11 maths chapter 1 Sets

Question 1:Make correct statements by filling in the symbols Ì or Ë in the blank spaces : (i) { 2, 3, 4 } . . . { 1, 2, 3, 4,5 } (ii) { a, b, c } . . . { b, c, d } (iii) {x : x is a student of Class XI of your school}. . .{x : x student of your school} (iv) {x : x is a circle in the plane} . . .{x : x is a circle in the same plane with radius 1 unit} (v) {x : x is a triangle in a plane} . . . {x : x is a rectangle in the plane} (vi) {x : x is an equilateral triangle in a plane} . . . {x : x is a triangle in the same plane} (vii) {x : x is an even natural number} . . . {x : x is an integer}

Exercise 1.3 maths class 11 Chapter 1 Sets

Question 2:Examine whether the following statements are true or false: (i) { a, b } Ë { b, c, a } (ii) { a, e } Ì { x : x is a vowel in the English alphabet} (iii) { 1, 2, 3 } Ì { 1, 3, 5 } (iv) { a }Ì { a, b, c } (v) { a }Î { a, b, c } (vi) { x : x is an even natural number less than 6} Ì { x : x is a natural number which divides 36}

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Question 3:Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why? (i) {3, 4} Ì A (ii) {3, 4} Î A (iii) {{3, 4}} Ì A (iv) 1 Î A (v) 1 Ì A (vi) {1, 2, 5} Ì A (vii) {1, 2, 5} Î A (viii) {1, 2, 3} Ì A (ix) f Î A (x) f Ì A (xi) {f} Ì A

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Question 4:Write down all the subsets of the following sets (i) {a} (ii) {a, b} (iii) {1, 2, 3} (iv) f

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Question 5:How many elements has P(A), if A = f?

Sets class 11 ncert solutions

Question 6:Write the following as intervals : (i) {x : x Î R, – 4 < x ≤ 6} (ii) {x : x Î R, – 12 < x < –10} (iii) {x : x Î R, 0 ≤ x < 7} (iv) {x : x Î R, 3 ≤ x ≤ 4}

Question 7:Write the following intervals in set-builder form : (i) (– 3, 0) (ii) [6 , 12] (iii) (6, 12] (iv) [–23, 5)

Exercise 1.3 class 11 Math ncert solutions Chapter 1

Question 8:What universal set(s) would you propose for each of the following : (i) The set of right triangles. (ii) The set of isosceles triangles.

Question 9:Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0, 1, 2, 3, 4, 5, 6} (ii) f (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}