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प्रश्न
If a relation R on the set {a, b, c} defined by R = {(b, b)}, then classify the relation.
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उत्तर
The relation is symmetric and transitive but not reflexive.
संबंधित प्रश्न
Determine whether the following relation is reflexive, symmetric and transitive:
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Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y) : x and y have the same number of pages} is an equivalence relation.
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Give an example of a relation which is symmetric and transitive but not reflexive?
Let C be the set of all complex numbers and C0 be the set of all no-zero complex numbers. Let a relation R on C0 be defined as
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Let A = {1, 2, 3, ... 9} and R be the relation in A × A defined by (a, b) R(c, d) if a + d = b + c for (a, b), (c, d) in A × A. Prove that R is an equivalence relation and also obtain the equivalent class [(2, 5)]
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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 the set of all possible outcomes.
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Ravi decides to explore these sets for various types of relations and functions.
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