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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
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Feb 3, 2013
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thanvigandhi_1
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0
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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.
asked
Jan 10, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
1
answer
Show that each of 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 $\}$ is an equivalence relation. Find the set of all elements related to 1.
asked
Nov 7, 2012
by
vaishali.a
cbse
class12
bookproblem
ch1
ex1-1
q9
p6
easy
sec-a
modelpaper
2012
q13
math
0
votes
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}.
asked
Jan 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
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}.
asked
Jan 23, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
0
answers
Show that the relation R in the set \( A = \{ x/x \in W, 0 \leq x \leq 12 \} \) given by \( R = \{ (a,b):(a-b)\) is a multiple of 4 } is an equivalence relation. Also find the set of all element related to 2.
asked
Feb 7, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q12
math
0
votes
0
answers
Show that the relation in the set \( A = { x : x \in W, o \leq x \leq 12} \) given by R = {(a, b) : a-b is a multiple of 4} is an equivalence relation.
asked
Jan 16, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
0
answers
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?
asked
Jan 27, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
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