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

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

Answers (1)

Answer : This relation is neither symmetric nor reflexive nor 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+4 y=10, x, y \in N \\ \\ (x, y) \in\{(6,1),(2,2)\}

Solution :

This is not reflexive as (1,1),(6,6)  are absent.

This is not symmetric as (6,1)is present but (1,6) is absent.

This is not transitive as there are only two elements in the set having no element in common.

This relation is neither symmetric nor reflexive nor transitive.

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