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

Binary Operations

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

MathematicsOn (A=\mathbb{R}^{+}), (a*b=\frac{a+b}{2}). What is true about the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A=\mathbb{R}^{+}), (a*b=ab). In which set does the inverse of (a) lie?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+ab). Which condition is necessary and sufficient for (a*b=b)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,-1}), ordinary multiplication is the operation. What is the correct statement about this structure?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1}), the operation (a*b) is ordinary multiplication. Which element has no inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{a}{b}). Is this operation associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{a}{b}). In which property does this operation fail?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). When will (a*b=1)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=2a+b). Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+2b). Choose the correct statement.Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{-\frac{1}{2}}), (a*b=a+b+2ab). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{-\frac{1}{k}}), (a*b=a+b+kab), where (k\neq 0). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+kab). For which values of (k) is the operation associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Is this operation associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Why is this operation commutative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,3,5,7}), (a*b) is the remainder when (a+b) is divided by (8). Is it closed on (A)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={x\in\mathbb{Z}:x\text{ is even}}), (a*b=\frac{a+b}{2}). Is it a binary operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Which option gives the best analysis for closure?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert