Class 12 Maths NCERT Solutions Chapter 1: Relations and Functions is developed and witten by our expert teachers. Students can study our solutions of Chapter 1: Relations and Functions class 12 Maths, Q1. Determine whether each of the following relations are reflexive, symmetric and transitive: (ii) Relation R in the set N of natural numbers defined as R = {(x, y) : y = x + 5 and x < 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y) : y is divisible by x} (iv) Relation R in the set Z of all integers defined as R = {(x, y) : x – y is an integer}, Q 1. Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the set A = {1, 2, 3, ..., 13, 14} defined as R = {(x, y) : 3x – y = 0}, Q 1.Determine whether each of the following relations are reflexive, symmetric and transitive:(v) Relation R in the set A of human beings in a town at a particular time given by (a) R = {(x, y) : x and y work at the same place} (b) R = {(x, y) : x and y live in the same locality} (c) R = {(x, y) : x is exactly 7 cm taller than y} (d) R = {(x, y) : x is wife of y} (e) R = {(x, y) : x is father of y}, 2. Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a ? b2} is neither reflexive nor symmetric nor transitive., 3. Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive., 4. Show that the relation R in R defined as R =
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