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Show that the relation R in the set `{1, 2, 3}` given by `R = {(1, 2), (2, 1)}` is symmetric but...
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Question From - NCERT Maths Class 12 Chapter 1 EXERCISE 1.1 Question – 6 RELATIONS AND FUNCTIONS CBSE, RBSE, UP, MP, BIHAR BOARD
QUESTION TEXT:-
Show that the relation R in the set `{1, 2, 3}` given by `R = {(1, 2), (2, 1)}` is symmetric but neither reflexive nor transitive.
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Related Questions & Solutions:
1. Show that the relation R in the set R of real numbers, defined as `R={(a ,b): alt=b^2}` is neither reflexive nor symmetric nor transitive....
2. Check whether the relation R defined in the set `{1, 2, 3, 4, 5, 6}` as `R = {(a , b) : b = a + 1}` is reflexive, symmetric or transitive....
3. Show that the relation R in R defined as `R={(a ,b): alt=b}` , is reflexive and transitive but not symmetric....
4. Check whether the relation R in R defined by `R={(a ,b):alt=b^3}` is reflexive, symmetric or transitive....
5. Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y) : x and y have same number of pages} is an equivalence relation....
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QUESTION TEXT:-
Show that the relation R in the set `{1, 2, 3}` given by `R = {(1, 2), (2, 1)}` is symmetric but neither reflexive nor transitive.
Doubtnut के साथ १००% मार्क्स पायें, आज ही डाउनलोड करें :-
Related Questions & Solutions:
1. Show that the relation R in the set R of real numbers, defined as `R={(a ,b): alt=b^2}` is neither reflexive nor symmetric nor transitive....
2. Check whether the relation R defined in the set `{1, 2, 3, 4, 5, 6}` as `R = {(a , b) : b = a + 1}` is reflexive, symmetric or transitive....
3. Show that the relation R in R defined as `R={(a ,b): alt=b}` , is reflexive and transitive but not symmetric....
4. Check whether the relation R in R defined by `R={(a ,b):alt=b^3}` is reflexive, symmetric or transitive....
5. Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y) : x and y have same number of pages} is an equivalence relation....
Get Classwise & Chapterwise Definitions & Solutions from NCERT Book:
Score 100% With Doubtnut
Prepare your class 12 subjects with our intuitive video solutions and score well in your final academic exam 2019-20. Students can click the doubt question from their text book of class 12 maths, physics, chemistry, biology, and find instant video solutions on our renowned doubt solving app or even on our website.
The video tutorials are helpful in preparation for the entrance exams like IIT JEE Main and Advanced, and NEET exam. Students can resolve their doubts with self-explanatory video solutions of questions from popular books of Math, Physics, Chemistry, Biology are solved for easy and swift learning.
Subscribe our channel for latest and trending videos on various topics from subjects like – Maths, Physics, Chemistry, Biology etc for Board & higher studies.
Doubtnut ऍप पर आप कक्षा ६ से १२ (IIT JEE तक) के NCERT के गणित/
भौतिक विज्ञान/रसायन विज्ञान/जीव विज्ञान/ के सभी सवालों के वीडियो देखिये और मुफ्त में खोजिये किसी
भी गणित सवाल का जवाब - 5 लाख से भी ज़्यादा सवालों के जवाब हैं Doubtnut ऍप पर
Doubtnut App and website has video solutions of ALL the NCERT questions from Class 6 to 12. You can download the NCERT solutions in pdf format too.
Doubtnut app provides free online video solutions that help students to better understand each topic and retain what they have learnt for a longer duration. It further helps in creating a stronger foundation for future classes.
You can also ask any question related to Math, Physics, Chemistry, Biology and get a video solution for FREE from a library of more than 5 Lakhs Videos
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