Consider the set A = {1, 2, 3} and the relation
R = {(1, 2), (1, 3)}.
Types of relation
Quiz
•
Mathematics
•
12th Grade
•
Hard
Swami Anand
Used 56+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Consider the set A = {1, 2, 3} and the relation
R = {(1, 2), (1, 3)}.
Reflexive
Symmetric
Transitive
none of these
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Let A = {1, 2, 3} and consider the relation
R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.Then R is
reflexive but not symmetric
reflexive but not transitive
symmetric and transitive
neither symmetric, nor
transitive
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is
Reflexive and symmetric
Transitive and symmetric
Equivalence
Reflexive, transitive but not
symmetric
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
For real numbers x and y, define xRy if and only if x – y is divisible by 3. Then the relation R is
only reflexive
Reflexive and symmetric
Reflexive but not transitive
Reflexive, symmetric and transitive
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For the set A = {1, 2, 3}, define a relation R in the set A as follows:
R = {(1, 1), (2, 2), (3, 3), (1, 3)}.
Write the ordered pairs to be added to R to make it the smallest equivalence relation.
(3,1),(1,2)
(3,1)
(3,2),(1,2)
(3,2)
6.
FILL IN THE BLANK QUESTION
3 mins • 1 pt
Let A = {0, 1, 2, 3} and define a relation R on A as follows:
R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}.
Is R reflexive? symmetric? transitive?
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Relation R in the set A = {1, 2, 3, ..., 13, 14} defined as
R = {(x, y) : 3x – y = 0}. Relation R is
Reflexive
Symmetric
Transitive
none of these
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