Types Of Relations – Reflexive, Symmetric And Transitive – JEE Main 2013, JEE Main 2014 - Videos

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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: 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^2⁡a-tan^2⁡b=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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6 COMMENTS

  1. in the first try yourself question,
    (5,12) belongs to r but (12,5) does not belong to r. thus, not symmetric
    so how r is symmetric.the given answer is not matching.
    it should be (c)

  2. sir please upload these type of videos and let us do ncert ques on own.If we have any doubt we will post to you or you can only solve the miscelleneous excercise.its a request sir.Thank you.

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