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Relation R in the set A = { 1, 2, 3, 4, 5, 6} defined as R = (x, y):y is divided by x}.
cbse
class12
modelpaper
2012
sec-a
q1
math
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asked
Jan 10, 2013
by
thanvigandhi_1
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Let N be the set of natural numbers and R be the relation in N defined as \(R = {(a, b) : a = b – 2, b > 6}\). Then \[ \begin{array} ((A)\: (2, 4) ∈ R \quad & (B)\: (3, 8) ∈ R \\ (C) \: (6, 8) ∈ R \quad & (D)\: (8, 7) ∈ R. \end{array} \]
cbse
class12
modelpaper
2012
sec-a
q1
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
Relation R is the set N of natural numbers defined as R = (x, y): y=x+5 and x < y}.
cbse
class12
modelpaper
2012
sec-a
q1
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Relation R in the set of Z of all integers defined as R = {(x, y) : x-y is an integer }.
cbse
class12
modelpaper
2012
sec-a
q1
math
asked
Jan 2, 2013
by
thanvigandhi_1
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.
cbse
modelpaper
2012
sec-a
q1
asked
Dec 26, 2012
by
thanvigandhi_1
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.
cbse
class12
modelpaper
2012
sec-a
q1
math
asked
Jan 2, 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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