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Transitive Relation

Class 12 Mathematics के इस tag से जुड़े questions।

Class 12 · Mathematics

If R = {(1, 2), (2, 4), (1, 4)}, which pair is required in the transitive check?

Class 12 · Mathematics

If R={(1,1),(1,2),(2,2)}, which pair is required from (1,2) and (2,2) in a transitive check?

Class 12 · Mathematics

If A={1,2,3} and R={(1,2),(2,3),(1,3)}, which fact shows the transitive property?

Class 12 · Mathematics

Which option gives a transitive relation on (A={1,2,3})?

Class 12 · Mathematics

Which relation is transitive but generally not symmetric?

Class 12 · Mathematics

Which statement about two transitive relations R and S on the same set is not necessarily true?

Class 12 · Mathematics

A relation (R) on a set is transitive. If ((2,4) \in R), ((4,6) \in R), and ((6,8) \in R), which conclusion is certain?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (R={(a,b):a\mid b\text{ and }a\ne b}). What is the nature of this relation?

Class 12 · Mathematics

A relation (R) on a set is transitive. If ((x,y) \in R), ((y,z) \in R), ((z,u) \in R), and ((u,v) \in R), which pair must definitely be in (R)?

Class 12 · Mathematics

On integers, (aRb) is defined when (a-b) is divisible by (9). What is the nature of this relation?

Class 12 · Mathematics

On (A={1,2,3,4,5}), the relation (R={(1,2),(2,5),(1,5),(3,4)}) is given. Is this relation transitive?

Class 12 · Mathematics

On real numbers, (aRb) is defined when (a^2\le b^2). Which statement is correct?

Class 12 · Mathematics

On (A={1,2,3,4,6,12}), (aRb) is defined when (b) is divisible by (a). Which is the correct transitivity check?

Class 12 · Mathematics

On integers, (aRb) is defined when (a\equiv b \pmod{4}). What is the correct reason for transitivity?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }a,b\text{ are both even}}). What is the nature of this relation?

Class 12 · Mathematics

On a set of lines, (lRm) is defined when (l) and (m) are parallel in the same plane. For distinct lines, what is the nature of this relation?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is even}}). Why is this relation transitive?

Class 12 · Mathematics

On integers, (aRb) is defined when (a-b) is divisible by (7). Why is this relation transitive?

Class 12 · Mathematics

On A={1,2,3,4}, let R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}. What is the nature of R?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{2}}). What is the nature of this relation?