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2. Relations
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Q7 of 65 Page 67

Let A = {(x, y): x + 3y = 12, x ϵ N and y ϵ N}.

(i) Write R in roster form.


(ii) Find dom (R) and range (R).


Given: A = {(x, y): x + 3y = 12, x ϵ N and y ϵ N}


(i) So, R in Roster Form is,


R = {(3, 3), (6, 2), (9, 1)}


(ii) Dom(R) = {3, 6, 9}


Range(R) = {1, 2, 3}


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5

Let A = {2, 3, 4, 5} and B = {3, 6, 7, 10}.

Let R = {(x, y): x ϵ A, y ϵ B and x is relatively prime to y}.


(i) Write R in roster form.


(ii) Find dom (R) and range (R).


6

Let A = {1, 2, 3, 5} AND B = {4, 6, 9}.

Let R = {(x, y): x ϵ A, y ϵ B and (x – y) is odd}.


Write R in roster form.


8

Let A = {1, 2, 3, 4, 5, 6}.

Define a relation R from A to A by R = {(x, y): y = x + 1}.


(i) Write R in roster form.


(ii) Find dom (R) and range (R).


(iii) What is its co-domain?


(iv) Depict R by using arrow diagram.


9

Let R = {(x, x + 5): x ϵ {9, 1, 2, 3, 4, 5}}.

(i) Write R in roster form.


(ii) Find dom (R) and range (R).


Questions · 65
2. Relations
1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 A 1 B 1 C 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12
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