Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
CBSE XII
>>
Math
>>
Model Papers
Given relation R in the set Z of all integers is given by \( R = {(a,b) \in Z * Z\: a-b \: is\: an\: integer }\). Find whether R is an equivalence relation or not.
cbse
class12
modelpaper
2012
sec-b
q11
math
Share
asked
Jan 31, 2013
by
thanvigandhi_1
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
Related questions
Given relation R is the set Z of all integers is given by \( R= \{(a,b) \in Z \times Z, a-b\) is an integer }. Find whether R is an equivalence relation or not.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Show that the relation R in the set \( A = ( x ; x \in Z, 0 \leq x \leq 12)\) given by \( R = \{(a,b) : |a-b| \) is divisible by 4} is an equivalence relation. Find the set of all elements related to 1.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Show that the relation R in the set \( A = { x \in Z:0 \leq x \leq 12},\) given by (i) R = { a, b : |a-b| is a multiple of 4 } (ii) R = {a, b ; a = b}. is equivalence relation. Find the set of all eleents related to 1 in each case.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Let R be the relation defined in the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a, b): both a and b are either odd or even}. Show that R is an equivalence relation. Further, show that all the elements of the subset{1, 3, 5, 7} are related to each other and all elements of the subset {2, 4, 6} are related to each other, but no element of the subset {1, 3, 5, 7}} is related to any element of the subset {2, 4, 6}.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Show that the relation R in the set A = {1, 2, 3, 4, 5} is given by R = {(a, b) : |a-b|is even }, is an equivalence relation. Show that all the elements of {1, 3, 5} are related to each other and all the elements of {2, 4} are related to each other. But no element of {1, 3, 5} is related to any element of {2, 4}.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Let T be the set of all triangles in a plane with R as relation in T given by \( R = {(T_1,T_2): T_1 \cong T_2}\). Show that R is an equivalence relation.
cbse
class12
modelpaper
2012
sec-b
q11
easy
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Show that the relation R in the set A of points, given by R: {P, Q): distance of the point P from the origin is the same as the distance of Q from the origin }, is an equivalence relation. Further, show that the set of all points related to P = (0, 0) is the circle passing through P with origin as the centre.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 8, 2013
by
thanvigandhi_1
0
answers
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...