Set \\\\(A = \\left \\{ 0,1,2,3,4,5 \\right \\}\\\\) \\\\(R\\\\) be the equivalence relation on A.Set \\\\(R=\\left \\{ (a,b)2 \\,divides \\, (a-b) \\right \\}\\\\)We have to find equivalnce class \\\\(\\left [ 0 \\right ]\\\\)To find equivalence class \\\\(\\left \\{ 0 \\right \\}\\\\),put \\\\(b=0\\\\)\\\\(\\Rightarrow a-0\\\\) is multiple of \\\\(2\\\\) . \\\\(\\Rightarrow \\\\) a is multiple of \\\\(2 \\\\). Multiples of \\\\(2\\\\) in given set are \\\\(0,2\\\\) and \\\\(4\\\\) . Hence equivalence class \\\\(\\left \\{ 0 \\right \\}=\\left \\{ 0,2,4 \\right \\}\\\\)