Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter Relation Exercise 1.2 Question 15 Subquestion (ii) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Relation Exercise 1.2 Question 15 Subquestion (ii) Maths Textbook Solution.

Answers (1)

best_answer

Given:Hence \: proved, R\cup S\: is \: re\! flexive.
Hint:(a, a) \, \epsilon \, R \, \forall\, a \, \epsilon\, X\, or\, as\, I \subseteq R \ , \text{where, I, is the identity relation on A.}
Explanation:
Given:   R and S are two relations on A such that R is reflexive.
To Prove:R\cup S\: is\: re\! f\! lexive.
Suppose \: R\cup S\: is\: not\: re\! f\! lexive.
\\\text{This means that there is and }R\cup S\: \text{ such that }(a, a) \: \notin\: R\cup S       
Since, a \, \epsilon \: R\cup S,
a \: \epsilon \: R \: or \: a\: \epsilon \: S
I\! f \: a \: \epsilon \: R, then (a, a) \: \epsilon \: R [R\: is\: re\! flexive]
(a,a) \: \epsilon \: R\cup S
Hence, R\cup S\: is \: re\! flexive.

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 Hindi exam 2025 not postponed; special exam for those who miss
anam-khan

CBSE Board Exams 2025 LIVE: Class 12 Hindi paper over; updates on exam analysis, answer key
anam-khan

CBSE Class 12 English Exam Analysis 2025: Paper rated 'easy, straightforward'; section-wise difficulty level

Latest Question