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Class 11 · Mathematics
→How many relations are possible on a set (A) having (n) elements?
Class 11 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b) is even. What is the nature of (R)?
Class 11 · Mathematics
→On the set (A={1,2,3,4,6,12}), relation (R={(a,b)\in A\times A:a) divides (b)(}) is given. Which statement is correct for this relation?
Class 11 · Mathematics
→If set (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?
Class 11 · Mathematics
→If (R={(a,b):a+b=5}) on (A={1,2,3,4}), what is (R\circ R) equal to?
Class 11 · Mathematics
→If A = {1,2,3,4} and R = {(a,b) : a+b=5}, which pair belongs to R∘R?
Class 12 · Mathematics
→On A = {1,2,3}, let R = {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}. Which pair or pairs must be added to make R an equivalence relation?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (R={(a,b):a+b=6}), which property does (R) satisfy?
Class 11 · Mathematics
→Let \(A=\{1,2,3,4\}\), and define a relation \(R\) on ordered pairs of elements of \(A\) such that \((a,b)\in R\) if and only if \(a+b\) is prime. Which of the following ordered pairs belongs to \(R\)?
Class 11 · Mathematics
→If (R={(a,b):a+b\text{ is prime}}) on (A={1,2,3,4}), which pair is not in (R)?
Class 11 · Mathematics
→If (R\subseteq A\times A) is symmetric and ((3,4)\notin R), which conclusion is not guaranteed?
Class 11 · Mathematics
→On A = {1,2,3,4,5}, let R = {(a,b) : a + b = 2a}. Which identity does R simplify to?
Class 11 · Mathematics
→If A = {1,2,3,4,5} and R = {(a,b) : a = 2b}, how many pairs are in R?
Class 11 · Mathematics
→If (A={1,2,3}) and (R={(1,2),(2,3),(1,3)}), which statement is correct for (R)?
Class 11 · Mathematics
→For the relation R={(a,b)∈A×A : a+b=7} defined on A={1,2,3,4}, what is its range?
Class 11 · Mathematics
→If (R) is transitive, ((1,4)\in R), and ((4,6)\in R), which pair must be in (R)?
Class 11 · Mathematics
→If \((2,5)\in R\) and the relation \(R\) is symmetric, which of the following pairs must also belong to \(R\)?
Class 11 · Mathematics
→On (A={1,2,3,4}), for (R={(a,b):a+b\text{ is even}}), what are the equivalence classes?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,5,6\}\), a relation \(R\) is defined by \(aRb\) if and only if \(a\equiv b\pmod{3}\). What is the equivalence class \([2]\)?
Class 11 · Mathematics
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