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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.
cbse
class12
modelpaper
2012
sec-b
q11
math
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asked
Jan 16, 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
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.
cbse
class12
modelpaper
2012
sec-b
q12
math
asked
Feb 7, 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 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.
cbse
class12
bookproblem
ch1
ex1-1
q9
p6
easy
sec-a
modelpaper
2012
q13
math
asked
Nov 7, 2012
by
vaishali.a
1
answer
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
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
Show that the relation R, defined in the set A of all triangles as \( R = (T_1, T_2):T_2\) is similar to \( T_2\)}, is equivalence relation. Consider three right triangles \( T_1\) , with sides 3, 4, 5; \( T_2\) with sides 5, 12, 13 and \( T_3\) with sides 6, 8, 10. Which triangle among \( T_1, T_2 \: and T_3\) are related?
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
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