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Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a) and (b) are both prime numbers(}). Is this relation transitive?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a^2-b^2=0). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a+b\text{ is even and }a\le b}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), relation (R={(a,b):a) is greater than (b)(}). What is the nature of this relation?
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}), (R={(a,b):a\le b\text{ and }b-a\le 3}). This relation is not transitive. Choose the correct counterexample.
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a<b\text{ and }a,b\text{ are both odd}}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(3,2),(2,1),(1,3),(3,1)}). Which pair is missing for transitivity?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a-b<5). Is this relation transitive?
Class 12 · Mathematics
→On the set of points in a plane, (P R Q) is defined when (P) and (Q) have the same (y)-coordinate. What is the nature of this relation?
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
→On (A={1,2,3,4,5}), (R={(a,b):a\ne b\text{ and }a+b\text{ is even}}). What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a^2=b^2) and (a^3=b^3). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4),(4,5)}). Which pair must be added to make it transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) leave the same remainder when divided by (3)(}). What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (|a|\le |b|+1). This relation is not transitive. Which counterexample is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):|a-b|=2}). Is this relation transitive?
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 (A={1,2,3,4,5}), (R={(a,b):a+b=7}). Is this relation transitive?
Class 12 · Mathematics
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