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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1),(3,2),(1,1),(2,2)}). Which pair is missing for transitivity?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) are both multiples of (3)(}). What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a+b\ge 0). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) or (a=b)(}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,2),(2,2),(4,4)}). Is this relation transitive?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a=b) or (a=b+1). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a<b\text{ and }b-a\text{ is even}}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }b-a\text{ is odd}}). What is the nature of this relation?
Class 12 · Mathematics
→On integers, (aRb) is defined when (a\equiv b \pmod{6}). Which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,3),(1,3),(3,5)}). Which pair is necessary to make it transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Why is this relation not transitive?
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
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