Let `A` be the set of all human beings in a town at a particular time. Determine whether Relation `R={(x ,\ y): x` and `y` work at the same place} is reflexive, symmetric and transitive:

Let A be the set of all human beings in a town at a particular time. Determine whether Relation R={(x ,\ y): x and y live in the same locality} is reflexive, symmetric and transitive:

Let A be the set of all human beings in a town at a particular time.Determine whether Relation R={(x,y):x and y live in the same locality } is reflexive,symmetric and transitive:

Let A be the set of all human beings in a town at a particular time. Determine whether Relation R={(x ,\ y): x is father of y } is reflexive, symmetric and transitive:

Let A be the set of all human beings in a town at a particular time. Determine whether Relation R={(x ,\ y): x is wife of y } is reflexive, symmetric and transitive:

Let A be the set of all human beings in a town at a particular time.Determine whether Relation R={(x,y):x is father of y} is reflexive,symmetric and transitive:

Let A be the set of all human beings in a town at a particular time. Determine whether the relation R={(x, y):x" is wife of y",x,yinA} is reflecxive, symmetric and transitive.

Let A be the set of all human beings in a town at a particular time.Determine whether Relation R={(x,y):x is wife of y} is reflexive,symmetric and transitive:

Let A be the set of human beings in a town at a particular time.A relation R on set A is defined as R = { (x,y): x is younger than y } . Then R is

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} (ii) Relation R in the set N of natural numbers defined as R = {(x, y) : y = x + 5 and x lt 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} (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 }