Maths-
General
Easy

Question

Let L denote the set of all straight lines in a plane. Let a relation R be defined by alpha R beta left right double arrow alpha perpendicular beta alpha comma beta element of L. text end textThen R is-

  1. Reflexive    
  2. Symmetric    
  3. Transitive    
  4. None of these    

hintHint:

A relation R on a set A is said to be symmetric if aRb implies bRa for all a,bAa comma b element of A.
If R is symmetric, then by the definition of symmetric, if alphaRbeta then alphaRbeta for all m,alpham,βL.
If one line L is given perpendicular to some line m, then m will also be perpendicular to l as well.

The correct answer is: Symmetric


    To find the type of relation R.

    Hence, the relation R is symmetric.

    Related Questions to study

    General
    Maths-

    Let X={1,2,3,4} and Y={1,3,5,7,9} . Which of the following is relations from X to Y-

    So the correct relations are R2 and R3.

    Let X={1,2,3,4} and Y={1,3,5,7,9} . Which of the following is relations from X to Y-

    Maths-General

    So the correct relations are R2 and R3.

    General
    Maths-

    If Q=open curly brackets x colon x equals fraction numerator 1 over denominator y end fraction comma text  where  end text y element of N close curly brackets comma text end textthen-

    Hence, 1 element of Q is correct.

    If Q=open curly brackets x colon x equals fraction numerator 1 over denominator y end fraction comma text  where  end text y element of N close curly brackets comma text end textthen-

    Maths-General

    Hence, 1 element of Q is correct.

    General
    Maths-

    Let Aequals left curly bracket x colon x element of R comma vertical line x vertical line less than 1 right curly bracket comma B equals left curly bracket x colon x element of R comma vertical line x minus 1 vertical line greater or equal than 1 right curly bracket text end textand A union B=R-D, then the set D is

    Therefore, set of D is left curly bracket x colon 1 less or equal than x less than 2 right curly bracket.

    Let Aequals left curly bracket x colon x element of R comma vertical line x vertical line less than 1 right curly bracket comma B equals left curly bracket x colon x element of R comma vertical line x minus 1 vertical line greater or equal than 1 right curly bracket text end textand A union B=R-D, then the set D is

    Maths-General

    Therefore, set of D is left curly bracket x colon 1 less or equal than x less than 2 right curly bracket.

    parallel
    General
    Maths-

    Which set is the subset of all given sets ?

    Therefore, { } is a subset of all givens sets.

    Which set is the subset of all given sets ?

    Maths-General

    Therefore, { } is a subset of all givens sets.

    General
    Maths-

    Let A and B be two sets such that n(A) = 70, n(B) = 60 and n left parenthesis A union B right parenthesis = 110. Then n left parenthesis A intersection B right parenthesis is equal to-

    Therefore, n(AB= 20

    Let A and B be two sets such that n(A) = 70, n(B) = 60 and n left parenthesis A union B right parenthesis = 110. Then n left parenthesis A intersection B right parenthesis is equal to-

    Maths-General

    Therefore, n(AB= 20

    General
    Maths-

    The shaded region in the given figure is

    The shaded region in the given figure is

    Maths-General
    parallel
    General
    Maths-

    Which of the following are true ?

    Therefore, from the given options, left square bracket 3 , 7 right square bracket subset of or equal to left parenthesis 2 , 10 right parenthesis is true.

    Which of the following are true ?

    Maths-General

    Therefore, from the given options, left square bracket 3 , 7 right square bracket subset of or equal to left parenthesis 2 , 10 right parenthesis is true.

    General
    Maths-

    The set of intelligent students in a class is-

    The set of intelligent students in a class is-

    Maths-General
    General
    Maths-

    Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 5}, B = {6, 7} then left parenthesis A intersection B right parenthesis to the power of ´ end exponent is-

    Therefore, A ⋂ B’ = A.

    Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 5}, B = {6, 7} then left parenthesis A intersection B right parenthesis to the power of ´ end exponent is-

    Maths-General

    Therefore, A ⋂ B’ = A.

    parallel
    General
    Maths-

    If A subset of or equal to B, then A intersection B is equal to-

    Therefore, A intersection B is equal to = A

    If A subset of or equal to B, then A intersection B is equal to-

    Maths-General

    Therefore, A intersection B is equal to = A

    General
    physics-

    The velocity of a body is given by the equation v equals 6 minus 0.02 t, where t is the time taken. The body is undergoing.

    The velocity of a body is given by the equation v equals 6 minus 0.02 t, where t is the time taken. The body is undergoing.

    physics-General
    General
    physics-

    A bus is moving at 20 m s to the power of negative 1 end exponent. How much distance in kilometers will the bus cover in 25 minutes.

    A bus is moving at 20 m s to the power of negative 1 end exponent. How much distance in kilometers will the bus cover in 25 minutes.

    physics-General
    parallel
    General
    physics-

    An object moves from A to B in 2h in given figure. The velocity of object is.

    An object moves from A to B in 2h in given figure. The velocity of object is.

    physics-General
    General
    physics-

    A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

    A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

    physics-General
    General
    physics-

    The displacement of object in given diagram is

    The displacement of object in given diagram is

    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.