Math Chapter Wise question with answer

Q01 In a matrix space (X, d), A be any subset. A point, x ∈ X is called a limit point of A, if for every open ball B (X... English · DSSSB PGT 2021 Q02 For α ∈ R, let |α| denotes the greatest integer smaller than or equal to α. Define d: R × R → → [0, ∞ ∞ ∞) by d (x,... English · Bihar (TRE 1.0) -2023 Q03 Let X be a countable set. Then which of the following is not true? English · Bihar (TRE 1.0) -2023 Q04 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 Q05 If a mapping d: R2 × R2 → R be defined by d (x,y) = |x1 –y1| + |x2 – y2|, where x = (x1, x2), y = (y1,y2)∈R2, then... English · RPSC PGT 2022 Q06 In a metric space (X, d), A be a metric space, then the largest open subset of AC (complement of A) is English · DSSSB PGT 2021