Class-12,Math,Relations and functions

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Name of Student *

Contact No. *

If R is a relation from a non – empty set A to a non – empty set B, then *

1 point

R=A×B

R⊂A×B

R=A∪B

R=A∩B

Let A = { 2 , 3 , 6 }. Which of the following relations on A are reflexive ? *

1 point

R3 = {( 2,2 ) , ( 3,6 ) , ( 2,6 )}

R1 = {( 2,2 ) , ( 3,3 ) , ( 6,6 )}

None of these

R2 = {( 2,2 ) , ( 3,3 ) , ( 3,6 ) , ( 6,3 )}

Let R be the relation on N defined as by x + 2 y = 8. The domain of R is *

1 point

{2, 4, 6}

{1, 2, 3, 4}

{2, 4, 6, 8}

{2, 4, 8}

Let R = {(a, a), (b, b), (c, c), (a, b)} be a relation on set A = {a, b, c}. Then, R is *

1 point

reflexive

transitive

symmetric

anti – symmetric

R = {(1, 1), (2, 2), (1, 2), (2, 1), (2, 3)} be a relation on A, then R is *

1 point

symmetric

not anti symmetric

anti symmetric

Reflexive

Let A = {1, 2, 3} and R = {(1, 2), (2, 3), (1, 3)} be a relation on A. Then, R is *

1 point

symmetric

reflexive

None of these.

transitive

Let A = {1, 2, 3}, then the domain of the relation R = {(1, 1), (2, 3), (2, 1)} defined on A is *

1 point

None of these.

{1, 2, 3}

{1, 2}

{1, 3}

Let A = {a, b, c}, then the range of the relation R= {(a, b), (a, c), (b, c)} defined on A is *

1 point

{a, b, c}

{a, b}

{b, c}

{c}

Number of relations that can be defined on the set A = {a, b, c, d} is *

1 point

Option 1

Option 2

Option 3

Option 4

Let A = {1, 2, 3, 4, 5, 6}. Which of the following partitions of A correspond to an equivalence relation on A? *

1 point

{1, 3}, {2, 4, 5}, {6}

{1, 2, 3}, {3, 4, 5, 6}.

{1, 2, }, {3, 4}, {2, 3, 5, 6}

{1, 2,3 }, {4, 5, 6}

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