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Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(1,1),(2,2),(3,2),(1,3),(3,3)}). Choose the correct statement.

Class 12 · Mathematics · Easy

On (A={1,3,5}), (R={(a,b):a=b}). What type of relation is it?

Class 12 · Mathematics · Easy

If (A={2,4,6}) and (R={(2,2),(4,4)}), why is (R) not reflexive?

Class 12 · Mathematics · Easy

If (A={1,2,3}), which ordered pairs must be present in a relation on (A) for it to be reflexive?

Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(a,b):a=b\text{ or }a+b\text{ is even}}). Is (R) reflexive?

Class 12 · Mathematics · Easy

On (A={1,2,3,4}), (R) is reflexive. Which pair must be in (R)?

Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(1,1),(2,2),(2,3),(3,1)}). Why does reflexivity fail?

Class 12 · Mathematics · Easy

How many pairs are there in the identity relation on (A={1,2,3,4})?

Class 12 · Mathematics · Easy

On (A={1,2,3,4}), (R={(a,b):a \equiv 0 \pmod{2}}). Is (R) reflexive?

Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(a,b):a) and (b) have the same remainder when divided by (2)(}). Is (R) reflexive?

Class 12 · Mathematics · Easy

On (A={1,2,3}), (R={(a,b):a+b\text{ is odd}}). Is (R) reflexive?

Class 12 · Mathematics · Easy

On natural numbers, (R={(a,b):a) divides (b)(}). Is (R) reflexive?

Class 12 · Mathematics · Easy

On (A={1,2,3,4}), (R={(a,b):a=b}). What kind of relation is (R)?

Class 12 · Mathematics · Easy

If (R) is reflexive and (a \in A), which statement is always true?

Class 12 · Mathematics · Easy

On (A={1,2,3,4,5}), how many pairs will a reflexive relation have at minimum?

Class 12 · Mathematics · Easy

On (A={x,y,z}), (R={(x,x),(y,y),(x,z),(z,x)}). Which pair is needed to make it reflexive?

Class 12 · Mathematics · Easy

If (R) is reflexive and (A={p,q}), which statement is correct?

Class 12 · Mathematics · Easy

On (A={1,2,3,4}), (R={(a,a):a \in A}). What can (R) be called?

Class 12 · Mathematics · Easy

On (A={5}), (R=\varnothing). What is (R)?

Class 12 · Mathematics · Easy

Why is the empty relation (\varnothing) not reflexive on a non-empty set (A)?