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Let A = set of workers in a publication house. Let a R b, if and only if a and b tell lie; \( a,b \in A \) (i) Is R symmetric relation? (ii) Is this relation an equivalence relation?
cbse
class12
modelpaper
2012
sec-b
q11
math
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asked
Jan 28, 2013
by
thanvigandhi_1
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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 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
asked
Dec 26, 2012
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
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
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 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
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
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