Math Chapter Wise question with answer

Q01 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 Q02 If R is the set of real numbers and f is the relation {(x, [x]) x∈R}, where [x] denotes the greatest integer not gr... English · UP PCS (Pre) 1998 Q03 For x in IR, let [x] denote the greatest integer which is ultmost equal to x, then: English · UP PCS (Pre) 1994 Q04 If 1 f(x) 1, x then the value of 1 f f x is: English · OAVS TGT 2019 Q05 Let R be the set of real numbers, if f: R → → → R is given by f (x) = x2 + 2 and g:R → → → R is given by g (x) = x... English · UPPSC GIC 2021 Q06 Two finite sets have m and n elements respectively. The number of subsets of the first set is greater than the numb... English · Section B PGT TIER-I 31.11.2014 UP PCS (Pre) 2006 UP TGT 2021, 2003