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In this video, we will discuss the types of relations – REFLEXIVE, SYMMETRIC AND TRANSITIVE in a simple way.
Link to Previous Concept
What is a relation: • What is a Relation Find Number of R...
Questions discussed
JEE Main 2013
Let R={(x,y);x,y∈N; x^24xy+3y^2=0} where N is the set of all natural numbers, then R is
(A) reflexive but neither symmetric nor transitive (B) symmetric and transitive
(C) reflexive and symmetric (D) reflexive and transitive
ANSWER (A)
JEE Main 2014
Let P be relation defined on the set of all real numbers such that: P={(a,b):sec^2atan^2b=1}. Then P is
(A) reflexive and symmetric but not transitive (B) reflexive and transitive but not symmetric
(C) symmetric and transitive but not reflexive (D) An equivalence relation
ANSWER (D)
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TRY YOURSELF QUESTIONS
JEE Main 2013
Let R={(3,3), (5,5), (9, 9), (12,12), (5,12), (3,9), (3,12), (3,5)} be a relation on set A {3,5,9,12}, then R is
(A) reflexive and symmetric but not transitive (B) symmetric and transitive but not reflexive
(C) reflexive and transitive but not symmetric (D) An equivalence relation
ANSWER (C)
A relation R on the set of real numbers be defined as: aRb⟺(1+ab) greater than 0 is
(A) reflexive and symmetric but not transitive (B) symmetric and transitive but not reflexive
(C) reflexive and transitive but not symmetric (D) An equivalence relation
ANSWER (A)
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