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Let A = set of boys of XII class in some school. Let a R b, if and only if a and b use unfair means in the exam, \( a, b \in A\) Is R a transitive relation?
cbse
class12
modelpaper
2012
sec-b
q11
math
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asked
Jan 25, 2013
by
thanvigandhi_1
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Let L be the set of all lines in a plane and R be thr relation in L defined as \( \{(L_1, L_2):L_1\) is perpendicular to \( L_2 \}. \) Show that R is symmetric but neither reflexive nor transitive.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
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
asked
Jan 28, 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 A be the set of all students of class XII in a school and R be the relation, having the same *** on A, and then prove that R is an equivalence relation. Do you think, co-education may be helpful in child development and why?
cbse
class12
valuebasedproblems2012
additionalproblem
ch1
q4
math
sec-b
asked
Jan 24, 2013
by
shanthinig
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
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