Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ Exercise 1.3 Question 1: Make correct statements by filling in the symbols or (i) 2,3,4 ... 1,2,3,4,5 a, b, c ... b, c, d (ii) in the blank spaces: x : xis a student of class XIof your school ... x : xstudent of your school (iii) x : xis a circlein the plane ... x : xis a circlein thesame plane with radius1unit (iv) (v) x : xis a trianglein a plane ... x : x is a rectanglein the plane x : xis an equilateral trianglein a plane ... x : xis a trianglein thesame plane (vi) x : xis an even natural number ... x : xis an integer (vii) Solution 1: (i) {2,3,4} 1, 2,3, 4,5 a, b, c b, c, d (ii) (iii) x : xis a student of class XIof your school x : xisstudent of your school x : xis a circlein the plane x : xis a circlein thesame plane with radius1unit (iv) x : xis a trianglein a plane x : xis a rectanglein the plane (v) x : xis an equilateral trianglein a plane x : xin a trianglein thesame plane (vi) x : xis an even natural number x : xis an integer (vii) Question 2: Examine whether the following statements are true or false: (i) a, b b, c, a a, e x : xis a vowelin the English alphabet (ii) 1, 2,3 1,3,5 (iii) a a, b, c (iv) a a, b, c (v) (vi) x : xis an even natural number less than 6 x : xis a natural number which divide36 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ Solution 2: (i) False. Each element of ab , is also an element of b, c, a . (ii) True, (iii) False. ae , are two vowels of the English alphabet. 2 1, 2,3 ; however, 2 1,3,5 (iv) True. Each element of {a} is also an element of {a, b, c}. (v) False. The element of {a, b, c} are a, b, c. Therefore, x: xis an even natural number less than 6 2,4 (vi) True. x: xis a natural number which divides36 1,2,3,4,6,9,12,18,36 a a, b, c Question 3: Let A (i) 3, 4 A (ii) (iii) 3, 4 A 1, 2, 3, 4 ,5 . { 3, 4 } A (iv) 1 A (v) 1 A 1, 2,5 A (vi) 1, 2,5 A (vii) (viii) (ix) (x) 1, 2,3 A A A (xi) A Solution 3: A 1, 2,{3, 4 ,5} Which of the following statements are incorrect and why? (i) The statement is incorrect because 3 3, 4 ; however, 3 A. (ii) The statement 3, 4 A is correct because 3, 4 is an element of A. (iii) The statement is correct because and 3, 4 A 3,4 A Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor. 3, 4 3, 4 3, 4 A . (iv) The statement 1 A is correct because 1 is an element of A. (v) The statement 1 A is incorrect because an element of a set can never be a subset of itself. (vi) The statement 1, 2,5 A is correct because each element of 1, 2,5 is also an element of A.

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