No products in the cart.

Show that the relation R in …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Show that the relation R in the set Z of all integers given by R{(a, b) : 5 divides a-b} is an equivalence Relation

Posted by Hritick ❤❤ Be Unique 4 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Jerry Singh 4 years, 3 months ago

For every a in Z, We have (a-a) which is divisible by 5 So, (a, a) is in R Hence, R is reflexive Let (a, b) be in R then (a-b) =5k(say) And, - (a-b) is also divisible by 5 Hence,( b-a) is divisible by 5 Therefore, (b, a) is in R whenever (a, b) is in R So, R is symmetric Let (a,b) and (b,c) be in R. Then, (a-b) is divisible by 5, also (b-c) is divisible by 5. Now, (a-b) +(b-c) =(a-c) is also divisible by 5. Hence,(a,c) is in R whenever (a, b) and (b, c) is in R. So, R is transitive Since, R is reflexive, symmetric and Transitive Thus, R is an equivalence relation.

ANSWER

http://mycbseguide.com/examin8/

Related Questions

What is the maximum value of sinx + cos x

Posted by Xxxxxx Xx 4 months ago

CBSE > Class 12 > Mathematics

3 answers

Y=sin√ax^2+√bx+√c

Posted by Karan Kumar Mohanta 4 months, 1 week ago

CBSE > Class 12 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Suchitra Jain 4 months, 1 week ago

CBSE > Class 12 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Neemisha Gusain 4 months, 3 weeks ago

CBSE > Class 12 > Mathematics

0 answers

Three friends Ravi Raju

Posted by Sneha Pandey 4 months, 4 weeks ago

CBSE > Class 12 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Tumngam Karbak 4 months, 3 weeks ago

CBSE > Class 12 > Mathematics

0 answers

What is the maximum value of the function sin x + cosx

Posted by Xxxxxx Xx 4 months ago

CBSE > Class 12 > Mathematics

0 answers

Find all vectors of magnitude 10√3 that are perpendicular to the plane of i+2j+k and -i+3j+4k

Posted by Sanjay Kumar 4 months, 2 weeks ago

CBSE > Class 12 > Mathematics

0 answers

Find the second order derivatives of the functions x²+3x+2

Posted by Sanjna Gupta 4 months ago

CBSE > Class 12 > Mathematics

4 answers

Y= 1/2 [tan¯¹(2x/1-x²) + 2tan¯¹(1/x)

Posted by Charu Baid 4 months ago

CBSE > Class 12 > Mathematics

0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Google Play

Download myCBSEguide App