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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}), (R={(1,2),(2,4),(4,4),(1,4),(2,2)}). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) and their difference is divisible by (3)(}). What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a-b>0). What is the nature of this relation?
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 (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) is defined when (a) and (b) are both even or both odd. What is the nature of this relation?
Class 12 · Mathematics
→On natural numbers, (aRb) is defined when (b=a^2). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4)}). Which pair is necessary to make it transitive?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a+b=0). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a<b\text{ or }a=b}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,2),(2,3),(1,3),(3,3)}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) leave the same remainder when divided by (2)(}). What is the nature of this relation?
Class 12 · Mathematics
→On integers, (aRb) is defined when (a-b) is odd. This relation is not transitive. Which counterexample is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a>b}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\le b}). Why is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\le b\text{ and }b-a\le 2}). Is this relation transitive?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a^2=b^2). Why is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,3),(3,1),(1,1),(3,3),(2,4)}). Is this relation transitive or not?
Class 12 · Mathematics
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