Skip to content

Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

RELATED QUESTIONS

Sets

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

MathematicsOn the set \(A=\{1,2,3,4\}\), define the relation \(R=\{(a,b)\in A\times A: a+b\text{ is even}\}\). What is the equivalence class \([1]\) under this relation?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf set \(A\) has 5 elements, how many total relations are possible on \(A\)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{3,4,5,6\}\), and \(R=\{(a,b)\in A\times B: b=a+2\}\), how many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the set \(A=\{-2,-1,0,1,2,3\}\), define the relation \(R\) by \(aRb\) if and only if \(a\equiv b\pmod{3}\). What is the equivalence class \([-1]\)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsA relation \(R=\{(a,b):a,b\in A\text{ and }a+b=6\}\) is defined on the set \(A=\{1,2,3,4,5\}\). How many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn the set \(A=\{2,3,4,6,8,12\}\), relation \(R\) is defined by \(aRb\) if and only if \(a\mid b\). If \((2,6)\in R\) and \((6,12)\in R\), which of the following pairs must belong to \(R\) by transitivity?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn the set \(A=\{1,2,3,4,6,12\}\), a relation \(R\) is defined by \(aRb\) if and only if \(a\mid b\). Which of the following ordered pairs does not belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b):a\leq b\}\). When the first element is \(4\), which set contains all the second elements related to it?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsHow many equivalence classes are formed by the relation R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)} defined on the set A={1,2,3,4}?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhy is the relation \(R=\{(a,b)\in A\times A:a+b\ge 5\}\), defined on \(A=\{1,2,3,4\}\), not reflexive?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(A=\{1,2,3,4,6,12\}\), a relation \(R\) is defined by \(aRb\) if and only if \(a\mid b\). How many first elements are related to \(12\)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf a relation \(R=\{(a,b):a=b^2\}\) is defined on the set \(A=\{1,2,3,4\}\), which of the following is the correct form of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Medium 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 FunctionsRelationsLevel 26Medium 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 FunctionsRelationsLevel 26Medium MathematicsIf \(R=\{(a,b):a,b\in\{1,2,3,4\},\ ab=4\}\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf A={1,2,3}, B={x,y}, and R={(1,x),(3,y)}, what is the codomain of R?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf the relation \(R=\{(1,2),(2,3),(1,3)\}\), what is the range of \(R\)?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf \(A=\{-2,-1,0,1,2\}\) and \(aRb\) means \(a^2=b^2\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf a relation \(R=\{(x,x)\mid x\in A\}\) is defined on a set \(A\), what is \(R\) called?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsHow many relations in total can be defined on the set \(A=\{1,2\}\)?Class 11Relations and FunctionsRelationsLevel 25Medium