Let L be the set of all lines in a plane and R be the relation in L defined as `R={(L_1,""""L_2): L_1(" i s p e r p e n d i c u l a r t o L")_2}` . Show that R is symmetric but neither reflexive nor transitive.

Let L be the set of all line in XY place and R be the relation in L defined as R = {(L_1,L_2):L_1 is parallel to L_2 }Show that R is an equivalence relation. Find the set of all line related to the line y=2x+4

Show that the relation R in the set {1,2,3} given by R ={(1,2),(2,1 )} is symmetric but neither reflexive nor transitive

Let S be the set of all sets and let R={(A,B):AsubsetB} i.e A is a proper subset of B.Show that R is not symmetric

On the set N of all natural numbers define the relation R by aRb if and only if the GCD of a and b is 2, then R is a)reflexive but not symmetric b)symmetric only c)reflexive and transitive d)reflexive, symmetric and transitive

Show that the relation R in the set R of real number, defined as R = {(a.b): a lt= b^2} is neither reflexive nor symmetric nor transitive.

Let R be the relation in the set {1,2,3,4,} given by R = {(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)}.Choose the correct answer. a) R is reflexive and symmetric but not transitive b) R is reflexive and transitive but not symmetric c) R is symmetric and transitive but not reflexive d) R is an equivalence relation

Let S be the set of all sets and let R={(A,B):AsubsetB} i.e A is a proper subset of B.Show that R is (i).Transitive

Let L be the line x-2y+3=0 .Find the equation of the L_1 which is parallel to L and passing through (1,-2).

Show that the relation R in the set R of Real numbers defined as R={(a,b):aleb^2} is neither reflexive, nor symmetric, nor transitive.