Math Chapter Wise question with answer

Q01 Let X = {a, b, c} and T = {φ, {a}, {a, b},{a, c}, X} be a topology on X. If A = {a, c}, then derived set of A is English · UPPSC GDC 2021 Q02 Let X={a,b,c} and T={ } φ,{a},{b,c},X is topology on 'X', then which of the following in incorrect? English · UPPSC Polytechnic Lecturer 2021 (I) Q03 Let (X, d) be a metric space and let A ⊂ X. For x ∈ X, defined d(x, A) = inf{d(x, a):a ∈A} If d(x, A) = 0 for all x... English · Bihar (TRE 1.0) -2023 Q04 Let X = {a,b,c} and let { } φ J =,{a},{b,c},X, then English · UPPSC Polytechnic Lecturer 2021 (I) Q05 Let (X,J) be a topological space, where X={1,2,3,4,5} and J= { } φ,X,{2},{3,4},{2,3,4},{1,2,3,4}. If A= {1,3,4}, th... English · UPPSC Polytechnic Lecturer 2021 (I) Q06 Let (X,T) be a topological space, where X={a,b,c} and T= φ {,{a},{b,c},X} then (X,T) is English · UPPSC Polytechnic Lecturer 2021 (I)