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Class 11 · Mathematics
→If (R\subseteq A\times A) is symmetric and ((3,4)\notin R), which conclusion is not guaranteed?
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
→If (A={1,2,3,4}) and (R={(a,b):a\ne b}), which statement about (R) is correct?
Class 11 · Mathematics
→On A = {1,2,3,4,5,6}, let R = {(a,b) : gcd(a,b) = 1}. Which property is correct for this relation?
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
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Which statement about (R) is correct?
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
→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
→On (A={2,3,4,6}), (R={(a,b):\operatorname{lcm}(a,b)=12}). Which property is true?
Class 11 · Mathematics
→If A={1,2,3,4} and R={(a,b)∈A×A : ab is even}, which statement about R is correct?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b):a\ge b\}\). Which statement about the relation \(R\) is correct?
Class 11 · Mathematics
→If (R) and (S) are symmetric relations, which statement is always true about (R\cup S)?
Class 11 · Mathematics
→A relation R is defined on the set A={1,2,3,4} by R={(a,b): a-b∈{0,2,-2}}. Which of the following statements is correct?
Class 11 · Mathematics
→For which type of relation is the inverse relation equal to the relation itself, that is, \(R^{-1}=R\)?
Class 11 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)=1}). Which property is necessarily true?
Class 11 · Mathematics
→If \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b)\in A\times A:a+b\le 6\}\), which statement is correct about \(R\)?
Class 11 · Mathematics
→If A has 3 elements, how many relations on A are both reflexive and symmetric?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a+b=5}), choose the correct statement about (R).
Class 11 · Mathematics
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