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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.
cbse
class12
modelpaper
2012
sec-a
q1
math
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Jan 2, 2013
by
thanvigandhi_1
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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
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0
votes
0
answers
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.
asked
Jan 30, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
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
0
answers
Give an example of relation which is reflexive but neither symmetric nor transitive.
asked
Jan 21, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-a
q1
math
0
votes
0
answers
Give an example to show that the relation R in the set of natural numbers, defined by \( R = ( (x,y), x, y \in\: N, x \leq \: y^2) \) is not transitive.
asked
Dec 26, 2012
by
thanvigandhi_1
cbse
modelpaper
2012
sec-a
q1
0
votes
1
answer
Given a Relation $R$ in a set of Real Numbers defined as $(R) =\{(a, b: (a \leq b^2 )\}$. Is the Relation reflexive, transitive or symmetric?
asked
Mar 8, 2013
by
balaji.thirumalai
cbse
class12
ch1
sec1
easy
sec-a
additionalproblem
math
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