9. A relation R is defined on the the set of natural N as aRb where a=b^2 for a,bЄN. Write the relation R. Also write R^-1 in set builder method-
Advance Math Class 10- Exercise 1.3
Related Questions: Is the relation R on the set N of natural numbers?, What is aRb in relations and functions?, How do you define a relation in R?, What is the relation less than in the set of natural numbers?
Related Quarries: the relation r is defined on the set of natural number as (a b) a=2b, the relation r in the set of natural numbers n defined as r= (x y) y=x+5 and x 4 is, a differs from b by 3 meaning, a differs from b means, if r is a relation on the set n defined by (x y) 2x-y=10 then r is, a relation r is defined on n which of the following is the reflexive relation, relation r in the set n of natural numbers defined as y=x+5, a differs from b by 3 meaning in hindi.
Solution:
Given
R = {(a,b) : , where a, b Є N}
∴ R = {(1, 1), (4, 2), (9, 3), (16, 4)...........}
= {(a,b) :
, where a, b Є N}
= {(1, 1), (2, 4), (3, 9), (4, 16)...........}
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) ?