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
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
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
CBSE XII
>>
Math
>>
Model Papers
Let N be the set of all natural numbers and R be the relation on N x N defined by (a, b) R (c, d) if ad = bc. Show that R is an equivalence relation.
cbse
modelpaper
2012
sec-b
q11
Share
asked
Dec 26, 2012
by
thanvigandhi_1
edited
Jul 12, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
Related questions
Let N denote the set of all natural numbers and R be the relation on N x N defined by $ (a,b)R(c,d) \Leftrightarrow ad(b + c) = bc(a + d).$ Show that R is an equivalence relation on N x N.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q21
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
1
answer
If R is a relation in N x N, show that the relation R defined by : (a, b)R(c, d)if and only if ad = bc is an equivalence relation.
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Show that the relation R defined by (a, b ) R ( c, d ) \( \Rightarrow \) a + b + c on the set N x N is an equivalence relation.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 3, 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 : N \( \rightarrow \) N defined by (a,b)R(c,d) \( \iff \) a+d = b+c for all (a,b), (c,d) \( \in \) N x N is an equivalence relation.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Let L be the set of all lines in XY - planes and R be the relation in L defined as R = \( { (L_1, L_2 ) : L_1 \: is \: parallel\: to\: L_2} \). Show the R is an equivalence relation. Find the set of all the lines related to the line \( y=2x+4.\)
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 11, 2013
by
thanvigandhi_1
1
answer
Show that the R defined on the set A of all triangles as $R = \{(T_1, T_2): T_1$ is similar to $T_2 \}$ is an equivalence relation. Consider three right-angled triangles \( T_1\) with sides 3, 4, 5, \( T_2\) with sides 5, 12, 13 and \( T_3\) with sides 6, 8, 10. Which triangles among \( T_1, T_2 and T_3\) are related?
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 27, 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
...