State which of the following statement is FALSE? 

A relation defined from $R\to Ras{R}_1=\left\{\left(x,y\right):\left|x\right|+\left|y\right|=1,x,y\in R\right\}$ is not transitive 

A relation defined from $I\to Ias{R}_2=\left\{\left(x,y\right):x^2+y^2=9,x,y\in I\right\}$  then domain of the relation is {-3, 0, 3}

A relation defined from $N\to Nas{R}_3=\left\{\left(x,y\right):HCFofxandyisequalto1;x,y\in N\right\}$ is transitive 

A relation defined from $N\to Nas{R}_4=\left\{\left(x,y\right):2x+y=4;x,y\in N\right\}$  is not symmetric