On the set 1 2 3456 define a relation rho via a rho b if and

On the set {1, 2, 3,4,5,6}, define a relation rho via a rho b if and only if a^2 + b^2

Solution

To satisfy the condition of a² +b² <11 and a,b both are integers, then we have following pairs of ( a,b)

(1,1) => 1²+1²=2 < 11

(2,2) => 2²+2²=8 < 11

(1,2) => 1²+2²=5 < 11

(2,1) => 2²+1²=5 < 11

(1,3) => 1²+3²=10 < 11

(3,1) => 3²+1²=10 < 11