Case Study Questions for Class 12 Maths Chapter 1 Relations and Functions

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Case Study Questions for Class 12 Maths Chapter 1 Relations and Functions

Question 1:

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1, 2, 3, 4, 5, 6}. Let A be the set of players while B be set of all possible outcomes. A = {S, D}, B = {1, 2, 3, 4, 5, 6}

Based on the above information answer the following:

(i) Let R : B –> B be defined by R = {(x, y) : y is divisible by x} is
(a) Reflexive and transitive but not symmetric
(b) Reflexive and symmetric but not transitive
(c) Not reflexive but symmetric and transitive
(d) Equivalence

Answer Answer: (a)

(ii) Raji wants to know the number of functions from A to B. How many number of functions are possible?
(a) 62
(b) 26
(c) 6!
(d) 212

Answer Answer: (a)

(iii) Let R be a relation on B defined by R = {(1, 2), (2, 2), (1, 3), (3, 4), (3, 1), (4, 3), (5, 5)}. Then R is
(a) Symmetric
(b) Reflexive
(c) Transitive
(d) None of these three

Answer Answer: (d)

(iv) Raji wants to know the number of relations possible from A to B. How many numbers of relations are possible?
(a) 62
(b) 26
(c) 6!
(d) 212

Answer Answer: (d)

(v) Let R : B –> B be defined by R = {(1, 1), (1, 2), (2, 2)(3, 3), (4, 4), (5, 5), (6, 6)}, then R is
(a) Symmetric
(b) Reflexive and Transitive
(c) Transitive and symmetric
(d) Equivalence

Answer Answer: (b)

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