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Parity

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor (R={(a,b):a+b \text{ is even}}) on (A={1,2,3,4}), choose the correct option.Class 11Relations and FunctionsRelationsHard MathematicsOn the set \(A=\{1,2,3,4\}\), what is the nature of the relation \(R=\{(a,b)\in A\times A : a+b\text{ is odd}\}\)?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is even}}) is based on which idea?Class 11Relations and FunctionsRelationsMedium MathematicsIf (A={1,2,3,4}) and (R={(a,b):ab \text{ is even}}), which pair is not in (R)?Class 11Relations and FunctionsRelationsMedium MathematicsIf \(A=\{1,2,3,4\}\) and \(R\) is the relation consisting of ordered pairs for which \(a+b\) is odd, which of the following pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsMedium MathematicsIf a relation \(R\) on the set \(A=\{1,2,3,4\}\) is defined by \(aRb\) if and only if \(a-b\) is even, which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsMedium MathematicsOn (A={1,2,3,4,5}), if (aRb) when (a-b) is even, what type of relation is (R)?Class 11Relations and FunctionsRelationsMedium MathematicsIf (A={1,2,3,4}) and (R={(a,b):a) and (b) have same parity(}), which pair is in (R)?Class 11Relations and FunctionsRelationsEasy MathematicsIf A={1,2,3} and R={(a,b):a+b is odd}, which pair is not in R?Class 11Relations and FunctionsRelationsEasy MathematicsIf (R={(a,b):a) and (b) have same parity(}), which pair is in (R)?Class 11Relations and FunctionsRelationsEasy MathematicsIf \(R=\{(x,y):x+y\text{ is even}\}\) and \(x=1, y=3\), which statement is correct about the ordered pair \((1,3)\)?Class 11Relations and FunctionsRelationsEasy MathematicsIf \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a+b\text{ is even}\}\), where \(a,b\in A\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsEasy MathematicsIf \(A=\{1,3,5\}\) and \(B=\{2,4,6\}\), what will \(a+b\) always be for every \((a,b)\in A\times B\)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={2,3,4}) and (B={5,6,7,8}), how many pairs in (A\times B) have (a+b) even?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3}) and (B={4,5,6}), how many pairs in (A\times B) have (a+b) odd?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={x:x\in\mathbb{N},x\le 5}) and (B={y:y\in\mathbb{N},y\text{ is prime},y<10}), how many pairs in (A\times B) have (a+b) even?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3}) and (B={2,3,4}), how many pairs ((x,y)) in (A\times B) have (xy) even?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) have (a+b) odd and (b>a)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is even and \(ab\) is divisible by \(3\)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a<b) and (a+b) is even?Class 11Relations and FunctionsCartesian product of setsExpert