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: https://youtu.be/AqIy5obM0vo
Questions discussed
JEE Main 2013
Let R={(x,y);x,y∈N; x^2-4xy+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^2a-tan^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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Some Other Important Links are given below:
Mathematical Reasoning IIT JEE Lectures Playlist Link
Statistics IIT JEE Lectures Playlist Link
Sum of Series IIT JEE Concepts Playlist Link
Permutation and Combination IIT JEE Concepts Playlist Link
Binomial Theorem IIT JEE Concepts Playlist Link
Complex Numbers Maximum and Minimum Value IIT JEE Concepts Playlist Link
Physics Formulae Revision Playlist Link
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what are the answers for the question to do by ourselves