State which of the following statements is FALSE? 

A relation defined from  $R\to Ras{R}_1=\{(x,y):\left|x\right|+\left|y\right|=2,x,y\in R\}$  is not transitive

A relation defined from $I\to Ias{R}_2=\{(x,y):x^2+y^2=25,x,y\in I\}$  then maximum number of elements in  $R_2$ is 12                 (where I is set of integers)

A relation defined from  $N\to Nas{R}_3=\{(x,y):HCFofxandyisnotequalto1,x,y\in N\}$  is transitive.

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