Sets and Relation questions
385 published questions with worked solutions.
- Let R be the real line. Consider the following subsets of the plane R R: S= (x,y):y=x+1 and 0<x<2 and T= (x,y):x-y is an integer...
- Let R be a relation on the set of integers given by aRb a=2^k b for some integer k. Then, R is
- Let A= 2,3,4,5, ,16,17,18 . Let be the equivalence relation on A A defined by (a,b) (c,d) iff ad=bc. Then the number of ordered...
- Let A= x,y,z and B= a,b,c,d . Which one of the following is not a relation from A to B?
- The relation R= (1,1),(2,2),(3,3) on the set 1,2,3 is
- R is a relation from 11,12,13 to 8,10,12 defined by y=x-3. Then, R^ -1 is
- Let a relation R on the set N of natural numbers be defined as (x,y) R x^2-4xy+3y^2=0, ,x,y N. The relation R is
- Consider the following relations: R= (x,y) x,y are real numbers and x=wy for some rational number w ; S= ( m n , p q ) , | ,...
- The relation defined on R by x ,R ,y x^2=xy is
- Let R and S be two non-void relations on a set A. Which of the following statements is false?
- Let R= (1,3),(4,2),(2,4),(2,3),(3,1) be a relation on the set A= 1,2,3,4 . The relation R is
- Let R= (3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6) be a relation on the set A= 3,6,9,12 . The relation is
- The relation R defined on the set of natural numbers as (a,b):a-b=3 is given by
- Let S be the set of all real numbers. Then, the relation R= (a,b):1+ab>0 on S is
- Let A= 1,3,4,6,9 and B= 2,4,5,8,10 . Let R be a relation defined on A B such that R= ((a_1,b_1),(a_2,b_2)):a_1 b_2 and b_1 a_2 ....
- Let A= 1,2,3,4,5,6,7 . Then the relation R= (x,y) A A:x+y=7 is
- Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A B, each having at least...
- If X = 4^n - 3n - 1 : n N and Y = 9(n - 1) : n N , where N is the set of natural numbers, then X Y is equal to:
- Let N denote the set of all natural numbers. Define two binary relations on N as R_1 = (x, y) N N : 2x + y = 10 and R_2 = (x, y)...
- Consider the following two binary relations on the set A = a, b, c : R_1 = (c, a), (b, b), (a, c), (c, c), (b, c), (a, a) and R_2...
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration