Given the set A ={-2, -1,0, 1, 2},- list the ordered pairs(a, b) on A determined by the relation ‘a is the square of b’

Given the set A = {-2, -1,.0, 1, 2},- list the ordered pairs(a, b) on A determined by the relation ‘ a is equal to b'

Given the set A = {-2, -1,.0, 1, 2},- list the ordered pairs(a, b) on A determined by the relation ‘a is less than b'

Given the sets A = {1,2, 3, 4, 5} and B = {1, 3, 5}, write R as a set of ordered pairs, if the relation R from A to B is defined by ‘x isless than y’. State the domain and the range of the relation

Write down the identity relation on the set A={1,2,3} .

A relation R is defined from A={2,3,4,5} to set B={3,6,7,10} as follows: (x,y) in R . Express R as set of ordered pairs determine the domain and range of R.

Show that the relation R in the set A={x in Z:0lexle12} given by R={(a,b):|a-b|" is multiple of "4} is a equivalence relation. Find the set of all elements related to 1.

If the points (a,0), (0,b) and (1,1) are collinear,then find the relation between a and b.

Let A={1,2,3,4,5} . Write the operation table on the set A for the operation : ^^ where a^^b=min{a,b} for a,b in A

If R={(1,2),(2,3)} is a relation in N, list the least number of ordered pairs to be included in R so that R is an equivalence relation.

State true or false: R={(a,b) : a,b in A, a-b=2} is neither an empty relation nor a universal relation in the set A={0,1,2,3,4,5}