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Class 12 · Mathematics · Easy

If (R) is symmetric and ((7,2)\in R), which conclusion is correct?

Class 12 · Mathematics · Easy

If a relation has only the pair ((4,4)), is it symmetric or not?

Class 12 · Mathematics · Easy

Which option gives a symmetric relation?

Class 12 · Mathematics · Easy

If (R={(1,1),(1,2),(2,1),(2,2)}), why is (R) symmetric?

Class 12 · Mathematics · Easy

For (R={(a,b):a-b\text{ is even}}) on (A={1,2,3}), which statement is correct?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

If (A={1,2,3}) and (R={(1,1),(2,2),(1,3),(3,1)}), which statement about (R) is correct?

Class 12 · Mathematics · Easy

If (R) is symmetric and ((3,5)\in R), which pair must belong to (R)?

Class 12 · Mathematics · Easy

In which relation is symmetry automatically satisfied?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

If (A={1,2}) and (R={(1,2),(2,1)}), then what type is (R)?

Class 12 · Mathematics · Easy

What is the correct identification of a symmetric relation?

Class 12 · Mathematics · Easy

Which short memory rule best explains a symmetric relation?

Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Is it symmetric?

Class 12 · Mathematics · Easy

If (A={1,2}) and (R=A \times A), which pair will already be present for symmetry because of ((1,2))?

Class 12 · Mathematics · Easy

In the relation (R={(1,2),(2,1),(3,3),(4,4)}), how many pairs are equal to their own reverses?

Class 12 · Mathematics · Easy

Which statement is false?

Class 12 · Mathematics · Easy

If (R={(1,4),(4,1),(2,3)}), what is the minimum number of pairs to be added to make (R) symmetric?

Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(a,b):a=b\text{ or }a+b=4}). What type of relation is (R)?