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  • Explain solution for RD Sharma Class 12 Chapter Relation Exercise 1.1 Question 18 Subquestion (i) Maths textbook solution.

Explain solution for RD Sharma Class 12 Chapter Relation Exercise 1.1 Question 18 Subquestion (i) Maths textbook solution.

Answers (1)

Answer : Transitive

Hint :

A relation R on set A is

Reflexive relation:

If  (a, a) \in R for every a \in A

Symmetric relation:

If (a,b) is true then (b,a)  is also true for every a, b \in A

Transitive relation:

If  (a,b) and (b, c) \in R then (a, c) \in R  for every a, b, c \in A

Given : x>y, x, y \in N(x, y) \in\{(2,1),(3,1) \ldots \ldots(3,2),(4,2) \ldots\}

Solution :

This is not reflexive as (1,1),(2,2) \ldots \ldotsare absents.

This is not symmetric as (2,1) is present but (1,2) is absent

This is transitive as (3,2) \in R \text { and }(2,1) \in R \text { also }(3,1) \in R

Hence, this relation is not satisfying reflexivity and symmetricity.

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