CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
Let A be the set of all triangles in a plane. Let R be the relation in A defined as R = { ( x , y ) : x is congruent to y }. then R is
Not a transitive relation
Reflexive , symmetric but not transitive
An equivalence relation
Not a symmetric relation
For every x ∈ set of triangles
x is congruent to itself ⇒ reflexive
x≅y⇒y≅x (reflexive)
x≅y,y≅z,x≅z (transitive)
⇒ relation is equivalence
