Muft Shiksha
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

Subjects

RELATED QUESTIONS

Equivalence Classes

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). What are the distinct equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsAn equivalence relation on a set (A) has equivalence classes ({a,b,c}), ({d,e}), and ({f}). How many ordered pairs are there in this relation?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsOn the set (A={1,2,3,4,5}), (aRb) if and only if (a) and (b) are both even or both odd. How many blocks are formed in the partition by this relation?Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsIf (R) is an equivalence relation and (aRb), what is ([a]\setminus[b])?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsFor points in the plane, ((x_1,y_1)R(x_2,y_2)) holds when (x_1-y_1=x_2-y_2). What form do the equivalence classes have?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsIf (R) is an equivalence relation and ([a]\subseteq [b]\cup[c]), with ([a]\cap[b]\neq\varnothing), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a+b) is divisible by (7) or (a=b). What are the classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsOn (A={1,2,3,4,5,6}), (R) has classes ({1,2,3},{4,5,6}), and (S) has classes ({1,4},{2,5},{3,6}). How many classes are in (R\cap S)?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a^2+b^2) is even. What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsOn (A={1,2,3,4,5}), (aRb) holds when (a+b) is divisible by (6) or (a=b). Why is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsIf (R) is an equivalence relation and (a\in[b]), (b\in[c]), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsOn (A={1,2,3,4}), (R) has classes ({1,2},{3,4}), and (S) has classes ({1,3},{2,4}). What are the classes of (R\cap S)?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsOn (A={1,2,3,4,5,6}), (R) has classes ({1,2},{3,4},{5,6}), and (S) has classes ({1,2,3,4},{5,6}). Which statement is correct?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsFor points in the plane, what kind of equivalence classes are formed by the relation of having the same distance from the origin?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsIf (R) is an equivalence relation and ([a]\cap[b]\cap[c]\neq\varnothing), which statement is correct?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsOn (A={1,2,3,4,5}), the classes of relation (R) are ({1,4,5}) and ({2,3}). Which pair will definitely not be in (R)?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsIf (R) is an equivalence relation, when will ([a]\cup[b]) be a single equivalence class?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsWhen an equivalence relation is formed from a partition, which elements are related?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsIf (R) is an equivalence relation and ([a]\neq[b]), which statement is correct?Class 12Relations and FunctionsEquivalence relationLevel 18MediumMathematicsWhich option does not form a partition of (A={1,2,3,4,5})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium