Maths-
General
Easy

Question

Let R subscript 1 end subscript text  ,  end textbe a relation defined by R subscript 1 end subscript equals left curly bracket left parenthesis a comma b right parenthesis ∣ a greater or equal than b semicolon a comma b element of R right curly bracket text  .  end textThen R is

  1. An equivalence relation on R    
  2. Reflexive, transitive but not symmetric    
  3. Symmetric, Transitive but not reflexive    
  4. Neither transitive nor reflexive but symmetric    

The correct answer is: Reflexive, transitive but not symmetric


    To define the given relation.
    Relation R is reflexive because, For any a ϵ R, we have a ≥ a.
    Relation R is not symmetric as (2, 1) ϵ R but (1, 2) ∉ R.
    Relation R is transitive, because (a, b) ϵ R, (b, c) ϵ R implies that a ≥ b and b ≥ c which further implies that a ≥ c.

    Hence, the given relation is Reflexive, transitive but not symmetric.

    Related Questions to study

    General
    Maths-

    The relation R defined in N as aRb left right double arrow b is divisible by a is

    Hence, the given relations is reflexive but not symmetric.

    The relation R defined in N as aRb left right double arrow b is divisible by a is

    Maths-General

    Hence, the given relations is reflexive but not symmetric.

    General
    physics-

    Electric power =

    Electric power =

    physics-General
    General
    physics-

    n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is

    n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is

    physics-General
    parallel
    General
    physics-

    The equivalent resistance of the network shown in the adjoining figure between the points A and B is

    The equivalent resistance of the network shown in the adjoining figure between the points A and B is

    physics-General
    General
    physics-

    A current of 4.8 A is flowing in a conductor. The number of electrons passing through any cross-section per second is

    A current of 4.8 A is flowing in a conductor. The number of electrons passing through any cross-section per second is

    physics-General
    General
    physics-

    Equivalent resistance between points P and Q in the adjoining figure is

    Equivalent resistance between points P and Q in the adjoining figure is

    physics-General
    parallel
    General
    physics-

    The S.I. unit of surface charge density is _____.

    The S.I. unit of surface charge density is _____.

    physics-General
    General
    physics-

    A car of mass 1500 kg. If the speed of car is changed from 30 km/h to 60 km/h, then the work done by car is

    A car of mass 1500 kg. If the speed of car is changed from 30 km/h to 60 km/h, then the work done by car is

    physics-General
    General
    physics-

    A body of mass 2 kg is held 3 m above the floor of a room. The potential energy of the body relative to the floor is (g = 9.8 m/s2)

    A body of mass 2 kg is held 3 m above the floor of a room. The potential energy of the body relative to the floor is (g = 9.8 m/s2)

    physics-General
    parallel
    General
    physics-

    A force of 5 N acts on a body of weight 9.8 N. The acceleration produced in m/s2 is

    A force of 5 N acts on a body of weight 9.8 N. The acceleration produced in m/s2 is

    physics-General
    General
    physics-

    Frictional force is directly proportional to the

    Frictional force is directly proportional to the

    physics-General
    General
    physics-

    A machine gun has a mass of 20 kg. It fires 25 g bullets at the rate of 600 bullets per minute with a speed of 200m s to the power of negative 1 end exponent. The recoil velocity of gun is

    A machine gun has a mass of 20 kg. It fires 25 g bullets at the rate of 600 bullets per minute with a speed of 200m s to the power of negative 1 end exponent. The recoil velocity of gun is

    physics-General
    parallel
    General
    physics-

    Action and reaction

    Action and reaction

    physics-General
    General
    physics-

    The tension in string OB is

    The tension in string OB is

    physics-General
    General
    physics-

    Shown in the figure, the tension in string OA is

    Strings are masters and inextensible.

    Shown in the figure, the tension in string OA is

    Strings are masters and inextensible.

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.