Binary Relation Domain of R and Range of R

Binary Relation Domain of R and Range of R

1. If A contains 6 elements and B has 7 elements then the number of all possible binary relations are?

a) 7x7
b) 6x6
c) 2⁷
d) 2^{7 x 6}

2. If the number of elements in set A is M and in set B, is N then number of binary relation in AxB will be_ _ _ _ .

a) mn²
b) 2^mn
c) 3^mn
d) mn³

3. The Domain of R={(5,4), (5,7), (8,11)} is?

a) {5,8}.
b) {3,4,5,7,8,11}.
c) {4,5,7,11}.
d) {4,7,11}

4. Domain of R is denoted by?

a) Dom R
b) (R) Dom
c) D of R
d) Dom (R)

5. If X={1} and Y={a,b} then the binary relations of X x Y are?

a) R₁ = Æ, R₂ = {(1,a)}, R₃ = {(1,b)}, R₄ {(1,b),(1,b)}
b) R₁ = Æ, R₂ = {(2,a)}, R₃ = {(1,b)}, R₄ {(1,a),(1,b)}
c) R₁ = Æ, R₂ = {(1,a)}, R₃ = {(1,b)},
d) R₁ = Æ, R₂ = {(1,a)}, R₃ = {(1,b)}, R₄ {(1,a),(1,b)}

6. If A and B are two non-empty sets, then every subset R of set A x B is called _ _ _ _ _ _ .

a) Non binary relation.
b) Logic relation.
c) Logical relation.
d) Binary relation.

7. The Domain of f = {(a,x), (b,y), (c,y),(d,t)} is

a) {b,y,t}
b) {b,y,y,t}
c) {x,y,t}
d) {a,b,c,d}

8. Every subset of a Cartesian product is called _____________relation.

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9. If the number of elements in set X and set Y is 3 each, the number of binary relations in X � Y is 32

a) True
b) False

10. The Range of R={(3,6), (5,8), (8,13)} is {6,8,13}.

a) False
b) True

11. The set consisting of second elements of all the odered pairs of R is called _ _ _ _ _ _ .

a) D of R
b) Domain of R
c) R of R
d) Range of R

12. The Range of R={(3,4), (5,7), (8,11)} is?

a) {4,5,7,11}.
b) {4,7,11}
c) {3,4,5,7,8,11}.
d) {3,5,8}.

13. If set R is a binary relation, then the set consisting of second elements of all the ordered pairs of R is called the Domain of R.

a) True
b) False

14. Binary relations of A x B and B x A is _ _ _ _ _ _ _ .

a) Logical
b) Same
c) Illogical
d) Different

15. If set R is a binary relation then the set consisting of first elements of all the orered pairs of R is called _ _ _ _ .

a) R of R
b) Domain of R
c) D of R
d) Range of R

16. The set consisting of all first elements of the ordered pairs of a binary relation is called -------- of R.

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17. The range of f = {(a,x), (b,y), (c,y),(d,t)} is
a) {b,y,t}
b) {x,y,y,t}
c) {x,y,t}
d) {a,b,c,d}

18. Range of R is denoted by?

a) Range R
b) (R) Range
c) Range (R)
d) R of R

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