InterviewSolution
Saved Bookmarks
| 1. |
If a relation R .............. |
|
Answer» Let `x in N, x^(2)-4.x.x+3x^(2)=0` `:. (x, x) in R :. R` is reflexive we have `(3)^(2)-4(3)(1)+3(1)^(2)=9-12+3=0` or `(3, 1) in R` Also `1^(2)-4(1)(3)+3(3)^(2)=1-12+27 NE 0` `:. (1, 3) in R, :. R` is not symmetric again `(9, 3) in R` because `9^(2)-4(9)(3)+3(3)^(2)=108-108=0` and `(3, 1) in R` because `(3)^(2)-4(3)(1)+3(1)^(2)=12-12=0` and `(9, 1) in R` if `9^(2)-4(9)(1)+3(1)^(2)=0` if `84-36=0` which is not possible `:. (9, 3), (3, 1) in R` and `(9, 1) in R :. R` is not transitive `:.` Relation R is reflexive but NEITHER symmetric nor transitive. |
|