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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
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asked
Jan 30, 2013
by
thanvigandhi_1
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0
votes
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 \( y=2x+4.\)
asked
Jan 11, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
0
answers
Show that the relation R in the set R of real numbers, defined as \( R = {( a, b ) : a \leq b^2}\), is neither reflexive, nor symmetric , nor transitive.
asked
Jan 2, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-a
q1
math
0
votes
1
answer
Show that the relation \(R\) in the set {1,2,3} given by R={(1,2), (2,1)} is symmetric but neither reflexive nor transitive.
asked
Nov 7, 2012
by
vaishali.a
cbse
class12
bookproblem
ch1
sec1
q6
p6
sec-b
modelpaper
2012
q1
math
0
votes
0
answers
Let a relation R on the set R of real numbers defined as $(x,y)\; \varepsilon\;R \Leftrightarrow x^24xy+3y^2\;=\;0.$Show that R is reflexive but neither symmetric nor transitive.
asked
Jan 23, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q20
p4
math
sec-b
0
votes
1
answer
Show that the relation \(R\) in the set \(R\) of real numbers, defined as $(R) =\{(a, b: (a \leq b^2 )\}$ is neither reflexive nor symmetric nor transitive.
asked
Nov 7, 2012
by
vaishali.a
cbse
class12
bookproblem
ch1
sec1
q2
p5
easy
sec-a
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
Let a relation R on the set R of real numbers be defined as $ (a,b) \varepsilon R \Leftrightarrow 1+ ab > 0 for\; all\; a, b\; \varepsilon\; R.$show that R is reflexive and symmetric but not transitive.
asked
Jan 23, 2013
by
meena.p
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q19
p4
math
sec-b
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