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Class 12 · Mathematics · Easy

If (R={(1,2),(2,1),(3,4)}), which pair should be added to make it symmetric?

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Class 12 · Mathematics · Easy

In a symmetric relation, is any special checking needed for a pair like ((6,6))?

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Class 12 · Mathematics · Easy

If in a relation ((b,a)) is always present whenever ((a,b)) is present, what is the name of the relation?

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Class 12 · Mathematics · Easy

If (R={(1,3),(3,1),(2,2),(3,3)}), what is the correct conclusion?

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Class 12 · Mathematics · Easy

On (A={1,2,3}), what type is (R={(a,b):|a-b|=1})?

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Class 12 · Mathematics · Easy

If (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), which pair is its own reverse?

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Class 12 · Mathematics · Easy

In which situation will a relation fail the test of symmetry?

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Class 12 · Mathematics · Easy

If (R) contains only ((1,2)) and ((2,1)), can (R) be called symmetric?

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Class 12 · Mathematics · Easy

In a symmetric relation, which statement about ((a,b)) and ((b,a)) is correct?

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Class 12 · Mathematics · Easy

If (R={(1,1),(1,2),(2,1),(2,3),(3,2),(3,3)}), is (R) symmetric or not?

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Class 12 · Mathematics · Easy

Which rule generally forms a symmetric relation?

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Class 12 · Mathematics · Easy

If a relation contains ((5,8)) but not ((8,5)), what can it not be?

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Class 12 · Mathematics · Easy

If (R={(1,2),(2,1),(2,3),(3,2),(1,1)}), which property is shown by (R)?

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Class 12 · Mathematics · Easy

On (A={1,2,3}), what type is (R={(a,b):a\le b})?

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Class 12 · Mathematics · Easy

On (A={1,2,3}), why is (R={(a,b):a<b}) not symmetric?

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Class 12 · Mathematics · Easy

On (A={1,2,3,4}), what type is the relation (R={(a,b):a+b=5})?

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Class 12 · Mathematics · Easy

If (R) is symmetric and ((a,b)\in R), which statement may be false?

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Class 12 · Mathematics · Easy

If (R={(2,4),(4,2),(4,4)}), which pair is its own reverse?

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Class 12 · Mathematics · Easy

How can the condition of symmetry be written symbolically?

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Class 12 · Mathematics · Easy

Which option is not a symmetric relation?

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