| Assertion: A relation R = {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3)} is symmetric |
| Reason: A relation R on the set A is said to be symmetric if\[\left( a,\,\,b \right)\in R\], then\[\left( b,\,\,a \right)\in \,R\]. |
A) Both A and R are individually true and R is the correct explanation of A.
B) Both A and R are individually true and R is not the correct explanation of A.
C) 'A' is true but 'R' is false
D) 'A' is false but 'R' is true
E) Both A and R are false.
Correct Answer: D
Solution :
Given R = {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3)} Here \[\left( 1,\,\,2 \right)\in R\]but \[\left( 2,\,1 \right)\notin \,R\] \[\Rightarrow \]Assertion [A] is not true Also Given Reason is true {By definition of symmetric relation} \[\therefore \]Assertion A is false and Reason R is true Hence option [D] is the correct answer.
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