Set, Relation and FunctionHard
Question
Let R be a relation defined in the set of real numbers by a R b ⇔ 1 + ab > 0. Then R is-
Options
A.Equivalence relation
B.Transitive
C.Symmetric
D.Anti-symmetric
More Set, Relation and Function Questions
Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A∪ B ?...Let f : [0, 2] → R be a function which is continuous on [0, 2] and is differentiable on (0, 2) with f(0) = 1. Let ...Let f(x) be a function satisfying f′(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x...Let X = {1,2,3,4,5,6} be an universal set. Sets A,B,C in the universal set X be defined by A = {1,2,3},B = {2,4,5} & C =...Let S be a non-empty subset of R.Consider the following statement :p : There is a rational number x ∈ S such that ...