Math Chapter Wise question with answer

Q01 A relation ρ is defined on a set N by "aρb if and only if a is divisible by b" for all a, b ∈ N. Then ρ is - English · DSSSB PGT 2021 Q02 Let E ⊆ ⊆ ⊆ℝ and f, g, h are the functions from E into ℝ. Suppose a ∈ E and f, g, h are continuous at 'a', then for... English · DSE TGT 2019 Q03 Let f(x) be defined by f(x + y) = f(x) +f(y) for all real numbers x and y, then f(x) is: English · UKPSC Lecturer (Mains) 2020 Q04 If f(x) = cos 2 [π ]x + cos[ 2 π − ]x, where [x] stands for the greatest integer function, then π f 2 = English · UKPSC Lecturer (Mains) 2020 Q05 Let f(x) = x and g(x) = |x| for all x ∈ R, then the function φ(x) satisfying () () () () φ 2 x -f x ]+[ x - g x = 0... English · Haryana PGT 2018 Q06 If f(x) is a periodic function and α is a positive real number such that f(x+2α)+f(x)=0 for all x ∈ R, then the per... English · DSSSB 23 SEP 2018 (9 AM-11 AM)