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Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):a<b}), how many ordered pairs are in (R)?
Class 11 · Mathematics
→For the relation (R={(a,b):a+b\text{ is odd}}) on (A={1,2,3,4}), which statement is correct?
Class 11 · Mathematics
→If (R={(x,y)\in \mathbb{Z}\times\mathbb{Z}:x-y=3}), how can (R^{-1}) be written?
Class 11 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Which statement about (R) is correct?
Class 11 · Mathematics
→If (|A|=4), how many relations on (A) must contain ((a,a)) for all (a\in A)?
Class 11 · Mathematics
→If (A={1,2,3}), how many relations are possible on (A)?
Class 11 · Mathematics
→For (R={(a,b):a\mid b}) on (A={1,2,3,4}), which statement is correct?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4\}\), the relation \(R=\{(a,b):a\mid b\}\) is defined. Which of the following ordered pairs does not belong to \(R\)?
Class 11 · Mathematics
→If the relation \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the range of \(R\)?
Class 11 · Mathematics
→If \(R\subseteq A\times B\) and \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the domain of \(R\)?
Class 11 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is divisible by }2}). What type of relation is (R)?
Class 11 · Mathematics
→If (R=\varnothing) on (A={2,4,6}), which statement is correct?
Class 11 · Mathematics
→If A = {1,2,3} and R = A×A, what type of relation is R?
Class 11 · Mathematics
→For the relation (R={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), choose the correct option.
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a\le b}), which property is certainly satisfied by (R)?
Class 11 · Mathematics
→On set (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement is correct for (R)?
Class 11 · Mathematics
→Let R be a relation on a set A defined by: for every a, b ∈ A, aRb if and only if a = b. What type of relation is R?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b)\in A\times A:a+b=5}), then how many elements are in (R)?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,5,6\}\), let \(R=\{(a,b):a-b\equiv 0\pmod{5}\}\). What is the equivalence class \([1]\) under this relation?
Class 11 · Mathematics
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