The Cartesian product `PxxP` has 9 elements
among which are found `(-a,0)` and `(a,0)`.
A relation from P to P is defined as
`R={(x,y):x+y=0}`
Find P.

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} Write down the domain and range of R.

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} How many relations are possible from P to P?

The Cartesian product PxxP has 9 elements among which are found (-a,0) and (a,0) . A relation from P to P is defined as R={(x,y):x+y=0} Depict the relation using an arrow diagram.

The Cartesian product A xx A has 9 elements among which are found (-1,0) and (0,1). Find the set A and the remaining elements of A xx A

Determine the domain and range of the relation R defined by R={(x,y):y=x+1} , x in {0,1,2,3,4,5,6}

Determine whether each of the following relations is reflexive, symmetric and transitive. Relation R in the set A = {1,2,,3,…,13,14} defined as R= {(x,y) : 3x -y = 0}

P(x) is a second degree polynomial with P(1)=0 and P(-2)=0. a) Find two first degree factors of P(x) . b) Find the polynomial P(x) .

Find the number of relations which can be defined from P = {1,2,3} to Q = {x,y}

Let A={1,2,3,……,13,14} ,R is the relation on A defined by R={(x,y):3x-y=0 , x,y in A} Find the domain and range of R.