Class XI Chapter 2 – Relations and Functions Maths ______________________________________________________________________________ Domain of Range of R R 5,6,7 3, 4,5 Question 5: Let 1, 2,3, 4,6 by a} A . Let R be the relation on A defined by {( , ) : ,, isexactlydivisible . (i) Write R in roster form (ii) Find the domain of R (iii) Find the range of R. Solution 5: A 1,2,3,4,6 , R a, b : a, b A, bis exactlydivisible by a (i) R a b a b A b 1,1 , 1,2 , 1,3 , 1,4 , 1,6 , 2,2 , 2,4 , 2,6 , 3,3 , 3,6 , 4,4 , 6,6 (ii) Domain of R 1, 2,3, 4,6 (iii) Range of R 1, 2,3, 4,6 Question 6: Determine the domain and range of the relation R defined by Solution 6: R x, x 5 : x 0,1, 2,3, 4,5 R 0,5 , 1,6 , 2,7 , 3,8 , 4,9 , 5,10 R 0,1, 2,3, 4,5 Domain of Range of R 5,6,7,8,9,10 R x, x 5 : x 0,1, 2,3, 4,5 . Question 7: 3 Write the relation Solution 7: R x x x R R x, x : xisa primenumber less than10 in roster form. 3 , : isa primenumber less than10 2,8 , 3,27 , 5,125 , 7,343 . The prime numbers less than 10 are 2, 3, 5 and 7. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 2 – Relations and Functions Maths ______________________________________________________________________________ Question 8: Let A x, y, z and 1, 2 Solution 8: It is given that A B . Find the number of relations from A to B. x, y, z and B 1, 2 ,1 , , 2 , ,1 , , 2 , ,1 , , 2 A B x x y y z z Since B 6 n A , the number of subsets of A B is Therefore, the number of relations from A to B is . 6 2 . 6 2 . Question 9: Let R be the relation on Z defined by and range of R. Solution 9: R a, b : a, b Z, a bis an integer R a, b : a, b Z, a bis an integer It is known that the difference between any two integers is always an integer. Domain of R = Z Range of R = Z . Find the domain Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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