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

Relations

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

MathematicsIf A={1,2,3,4} and R={(a,b)∈A×A : ab is even}, which statement about R is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b):a\ge b\}\). Which statement about the relation \(R\) is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\), which single ordered pair must be added to make \(R\) transitive?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIs the union of two transitive relations always transitive? Choose the correct option.Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (R) and (S) are symmetric relations, which statement is always true about (R\cup S)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (R) and (S) are two reflexive relations on (A), which statement is always true about (R\cap S)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsA 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 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf an equivalence relation \(R\) defined on the set \(A=\{1,2,3,4\}\) has equivalence classes \(\{1,4\}\) and \(\{2,3\}\), how many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsWhich option gives a partition of (A={1,2,3})?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(3,3)}). What are its equivalence classes?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b>7}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsA relation R is defined on the set A = {1, 2, 3, 4} by R = {(a, b) : a + b = 6}, where a, b ∈ A. How many ordered pairs does R contain?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf \(R=\{(1,2),(2,3),(1,3)\}\) and \(S=\{(2,1),(3,2),(3,1)\}\), what is \(S\) in relation to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsFor which type of relation is the inverse relation equal to the relation itself, that is, \(R^{-1}=R\)?Class 11Relations and FunctionsRelationsLevel 25Expert 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 (A={1,2,3}), how many reflexive relations on (A) do not include ((1,2))?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)=1}). Which property is necessarily true?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (R={(a,b):a\ne b}) on (A={1,2,3,4}), choose the correct statement.Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={-2,-1,1,2}) and (R={(a,b):a^2=b^2}), what is the equivalence class ([-2])?Class 11Relations and FunctionsRelationsLevel 25Expert