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Class 12 · Mathematics
→If \(f(x)=4x-1\) and \(f(a)=19\), what is the value of \(a\)?
Class 12 · Mathematics
→Which of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.
Class 12 · Mathematics
→Which option gives a relation that is reflexive and symmetric but not necessarily transitive?
Class 12 · Mathematics
→Which option has all three properties: reflexive, symmetric, and transitive?
Class 12 · Mathematics
→Which option gives a symmetric relation on (A={1,2,3})?
Class 12 · Mathematics
→Which relation is transitive but generally not symmetric?
Class 12 · Mathematics
→Which relation is reflexive but generally not symmetric?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which pair must be added to make it an equivalence relation?
Class 12 · Mathematics
→If both (aRb) and (bRa) are true, which property does this indicate?
Class 12 · Mathematics
→What is the correct meaning of the symmetric property in an equivalence relation?
Class 12 · Mathematics
→If a relation is symmetric and transitive but not reflexive, what is the correct conclusion about equivalence relation?
Class 12 · Mathematics
→If a relation is reflexive and transitive but not symmetric, what will it be?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3)}). Why is it not an equivalence relation?
Class 12 · Mathematics
→If (R) is an equivalence relation and ((x,y)\in R), which pair must belong to (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) is given. What type of relation is this?
Class 12 · Mathematics
→If (R) is reflexive, symmetric, and transitive, what is (R) called?
Class 12 · Mathematics
→On (A={1,2,3}), (aRb) when (a\le b). Why is it not an equivalence relation?
Class 12 · Mathematics
→If a relation is an equivalence relation, must it be symmetric?
Class 12 · Mathematics
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