5. A={2,3,4,5} and B={3,6,7,10} be two sets and a relation R is defined as R={(x, y): x completely divides y where x Є A and y Є B}. Write the relation R in the tabular form. Also represent R by arrow diagram and matrix table- Advance Math Class 10 - Exercise 1.3.
Related Quarries: a relation r is defined from 2,3,4,5 to 3,6,7,10, let a= 2 3 4 5 and b= 3 6 7 10, let r be the relation from a=(2,3,4,5) to b=(3,6,7,10 defined by x divides y then r 1 is equal to), a relation phi from c to r, let s be the set of all real numbers. then, the relation r = {(a, b): 1 + ab > 0} on s is, let r be a relation on n defined by x+2y=8, if r be a relation form set a to b defined by xry ⇒ x − y is positive then r is if a 4 3 b 2 3 4, given set a 2 3 4 5 6 and the set b 0 1 2 3 write a relation r.
Solution:
Given,
A = {2, 3, 4, 5}
B ={3,6,7,10}
R={(x, y): x completely divides y where x Є A and y Є B}
∴ R = { (2, 6), (2, 10), (3, 3), (3, 6), (5, 10) }
Arrow Diagram
 |
| Arrow Diagram |
|
x→y
|
3
|
6
|
7
|
10
|
|
2
|
0
|
1
|
0
|
1
|
|
3
|
1
|
1
|
0
|
0
|
|
4
|
0
|
0
|
0
|
0
|
|
5
|
0
|
0
|
0
|
1
|
Exercise: 1.3
1. If A = {1, 3}, then write the identity relation I : A⟶A. Also write the universal relation on A ?
2. If A = {1, 2} then write down all the relation on A ?
3. If A = (1, 2, 3) then find the elements of the relation R= {(x, y): x=y and x, y Є A} on A ?
6. Determine R^-1 of the relation R given in question 5 above. Also find d(R^-1) and r(R^-1) ?