Relations and Types of Relation
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Sets, Relation and Function

116846 Let \(S\) be the set of all real numbers. A relation \(R\) has been defined on \(S\) by \(\mathbf{a R b} \Leftrightarrow|\mathbf{a}-\mathbf{b}| \leq \mathbf{1}\), then \(R\) is

1 symmetric and transitive but not reflexive
2 reflexive and transitive but not symmetric
3 reflexive and symmetric but not transitive
4 an equivalence relation
BITSAT-2013
Sets, Relation and Function

116847 Let \(R\) be an equivalence relation defined on a set containing 6 elements. The minimum number of ordered pairs that \(R\) should contain is

1 6
2 12
3 36
4 64
Karnataka CET 2010
Sets, Relation and Function

116848 Define a relation \(R\) on \(A=\{1,2,3,4\}\) as \(x R y\) if \(x\) divides \(y . R\) is

1 reflexive and transitive
2 reflexive and symmetric
3 symmetric and transitive
4 equivalence
Karnataka CET 2011
Sets, Relation and Function

116849 \(R\) is a relation on \(N\) given by \(R=\{(x, y) \mid 4 x+3 y\) \(=20\}\). Which of the following belongs to \(R\) ?

1 \((3,4)\)
2 \((2,4)\)
3 \((-4,12)\)
4 \((5,0)\)
Karnataka CET 2008
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Sets, Relation and Function

116846 Let \(S\) be the set of all real numbers. A relation \(R\) has been defined on \(S\) by \(\mathbf{a R b} \Leftrightarrow|\mathbf{a}-\mathbf{b}| \leq \mathbf{1}\), then \(R\) is

1 symmetric and transitive but not reflexive
2 reflexive and transitive but not symmetric
3 reflexive and symmetric but not transitive
4 an equivalence relation
BITSAT-2013
Sets, Relation and Function

116847 Let \(R\) be an equivalence relation defined on a set containing 6 elements. The minimum number of ordered pairs that \(R\) should contain is

1 6
2 12
3 36
4 64
Karnataka CET 2010
Sets, Relation and Function

116848 Define a relation \(R\) on \(A=\{1,2,3,4\}\) as \(x R y\) if \(x\) divides \(y . R\) is

1 reflexive and transitive
2 reflexive and symmetric
3 symmetric and transitive
4 equivalence
Karnataka CET 2011
Sets, Relation and Function

116849 \(R\) is a relation on \(N\) given by \(R=\{(x, y) \mid 4 x+3 y\) \(=20\}\). Which of the following belongs to \(R\) ?

1 \((3,4)\)
2 \((2,4)\)
3 \((-4,12)\)
4 \((5,0)\)
Karnataka CET 2008
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Sets, Relation and Function

116846 Let \(S\) be the set of all real numbers. A relation \(R\) has been defined on \(S\) by \(\mathbf{a R b} \Leftrightarrow|\mathbf{a}-\mathbf{b}| \leq \mathbf{1}\), then \(R\) is

1 symmetric and transitive but not reflexive
2 reflexive and transitive but not symmetric
3 reflexive and symmetric but not transitive
4 an equivalence relation
BITSAT-2013
Sets, Relation and Function

116847 Let \(R\) be an equivalence relation defined on a set containing 6 elements. The minimum number of ordered pairs that \(R\) should contain is

1 6
2 12
3 36
4 64
Karnataka CET 2010
Sets, Relation and Function

116848 Define a relation \(R\) on \(A=\{1,2,3,4\}\) as \(x R y\) if \(x\) divides \(y . R\) is

1 reflexive and transitive
2 reflexive and symmetric
3 symmetric and transitive
4 equivalence
Karnataka CET 2011
Sets, Relation and Function

116849 \(R\) is a relation on \(N\) given by \(R=\{(x, y) \mid 4 x+3 y\) \(=20\}\). Which of the following belongs to \(R\) ?

1 \((3,4)\)
2 \((2,4)\)
3 \((-4,12)\)
4 \((5,0)\)
Karnataka CET 2008
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Sets, Relation and Function

116846 Let \(S\) be the set of all real numbers. A relation \(R\) has been defined on \(S\) by \(\mathbf{a R b} \Leftrightarrow|\mathbf{a}-\mathbf{b}| \leq \mathbf{1}\), then \(R\) is

1 symmetric and transitive but not reflexive
2 reflexive and transitive but not symmetric
3 reflexive and symmetric but not transitive
4 an equivalence relation
BITSAT-2013
Sets, Relation and Function

116847 Let \(R\) be an equivalence relation defined on a set containing 6 elements. The minimum number of ordered pairs that \(R\) should contain is

1 6
2 12
3 36
4 64
Karnataka CET 2010
Sets, Relation and Function

116848 Define a relation \(R\) on \(A=\{1,2,3,4\}\) as \(x R y\) if \(x\) divides \(y . R\) is

1 reflexive and transitive
2 reflexive and symmetric
3 symmetric and transitive
4 equivalence
Karnataka CET 2011
Sets, Relation and Function

116849 \(R\) is a relation on \(N\) given by \(R=\{(x, y) \mid 4 x+3 y\) \(=20\}\). Which of the following belongs to \(R\) ?

1 \((3,4)\)
2 \((2,4)\)
3 \((-4,12)\)
4 \((5,0)\)
Karnataka CET 2008