Relation R in the set {1,2,3,4} is given by R={(1,2), (2,2), (1,1), (4,4), (1,3), (3,3), (3,2)}. Determine the properties of R.
RELATIONS AND FUNCTIONS

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Mathematics
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12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
R is Reflexive and transitive but not symmetric.
2.
FLASHCARD QUESTION
Front
Relation R in set N: R = {(a, b) : a = b – 2, b > 6}. Which pair belongs to R? Options: (2, 4), (3, 8), (6, 8), (8, 7)
Back
(6, 8) ∈ R
3.
FLASHCARD QUESTION
Front
Relation R on set of lines: L1 R L2 if L1 is perpendicular to L2.
Back
R is Symmetric
4.
FLASHCARD QUESTION
Front
Given a set A = {1 , 2, 3} and a relation R = {(1 , 2), (2 ,1)}, what property will R have if (1, 1) is added?
Back
Transitive
5.
FLASHCARD QUESTION
Front
Identity relation for set A = {a, b, c}
Back
{(a, a), (b, a), (c, a)}
6.
FLASHCARD QUESTION
Front
Back
c
7.
FLASHCARD QUESTION
Front
Back
a
8.
FLASHCARD QUESTION
Front
Back
0
9.
FLASHCARD QUESTION
Front
Back
c
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