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In this video, we solve an important question from VTU Discrete Mathematics (BCS405A – Module 3: Relations and Functions): A relation R is defined on A × A by (x₁, y₁) R (x₂, y₂) if and only if x₁ + y₁ = x₂ + y₂. 1️⃣ Prove that R is an equivalence relation 2️⃣ Find the equivalence class of (2,4) 📚 This problem helps you understand: Equivalence relations Reflexive, symmetric, and transitive properties Equivalence classes 🎓 Must-watch for BCA, BSc, BTech VTU students & others studying Discrete Math! 1️⃣ Relations and Functions | Discrete Mathematics | BCS405A Module 3 🔗 • Relations and Functions | Discrete Mathema... 2️⃣ Discrete Mathematics Module 3: One-to-One & Onto Functions | VTU BCS405A Explained 🔗 • Discrete Mathematics Module 3: One-to-One ... 3️⃣ Functions Between Sets | 1-1 and Onto Functions | BCS405A Module 3 | Discrete Math Important Problem 🔗 • Functions Between Sets | 1-1 and Onto Func... 4️⃣ Discrete Mathematics | BCS405A | Module 3: Relations and Functions 🔗 • Discrete Mathematics | BCS405A | Module 3:... 5️⃣ f(x) = 2x+5 & g(x) = (1/2)(x−5) | Prove g is Inverse of f | BCS405A Module 3 🔗 • f(x) = 2x+5 & g(x) = (1/2)(x−5) | Prove g ... 6️⃣ 🔁 Find gof, Prove It’s Invertible & Find Its Inverse | VTU BCS405A Module 3 🔗 • 🔁 Find gof, Prove It’s Invertible & Find I... 7️⃣ Equivalence Relation Proof + Class of (2,4) | Discrete Mathematics BCS405A | VTU 🔗 • Equivalence Relation Proof + Class of (2,4... 8️⃣ Prove: h ∘ (g ∘ f) = (h ∘ g) ∘ f | Composition of Functions | VTU BCS405A Module 3 🔗 • Prove: h ∘ (g ∘ f) = (h ∘ g) ∘ f | Composi... 9️⃣ ✅ Relation, Matrix & Digraph Explained | VTU BCS405A Module 3 | Discrete Mathematics 🔗 • ✅ Relation, Matrix & Digraph Explained | V... 🔟 Relation Matrix and Digraph | x less than y on A = {1,2,3,4} | Discrete Mathematics BCS405A VTU 🔗 • Relation Matrix and Digraph | x less than ... 1️⃣1️⃣ POSET & Hasse Diagram Explained | VTU BCS405A Module 3 | Discrete Mathematics Important Question 🔗 • POSET & Hasse Diagram Explained | VTU BCS4... 1️⃣2️⃣ Hasse Diagram of Positive Divisors of 36 | Discrete Mathematics BCS405A 🔗 • Hasse Diagram of Positive Divisors of 36 |... 1️⃣3️⃣ Hasse Diagram of Positive Divisors of 72 | Discrete Mathematics BCS405A 🔗 • Hasse Diagram of Positive Divisors of 72 |... 1️⃣4️⃣ BCS405A | Pigeonhole Principle Explained with Real-Life Example | VTU Discrete Maths 🔗 • BCS405A | Pigeonhole Principle Explained w... 1️⃣5️⃣ 29 People, 7 Days? | Pigeonhole Principle Explained with Real-Life Logic | VTU Discrete Maths 🔗 • 29 People, 7 Days? | Pigeonhole Principle ... 1️⃣6️⃣ How Many People to Share a Birth Month? 🤔 | Pigeonhole Principle Explained | BCS405A VTU 🔗 • How Many People to Share a Birth Month? 🤔 ... 1️⃣7️⃣ Choose 5 Numbers from 1 to 8 — Must Add to 9? | Pigeonhole Principle | BCS405A VTU 🔗 • Choose 5 Numbers from 1 to 8 — Must Add to... 📂 📺 Playlists by Module: 👉 BCS405A Module 1 – Fundamentals of Logic | VTU Dec 2024, June 2024, Model Papers Solved 🔗 • BCS405A Module 1 – Fundamentals of Logic |... ▶️ Module 1 – Fundamentals of Logic 🔗 • BCS405A Module 1 ( Fundamentals of Logic ) ▶️ Module 2 – Sets, Relations, Functions 🔗 • BCS405A Module 2( Discrete Mathematics ) ▶️ Module 3 – Graph Theory & Trees 🔗 • Relations and Functions | BCS405A Module 3... ▶️ Module 4 – Recurrence, Permutations, Inclusion-Exclusion 🔗 • BCS405A Module 4 ( The principle of exclu... #vtu #discretemathematics #equivalencerelation #bcs405a #bca #bsc #relationandfunctions #mathematics #vtuquestions #mathwithlogic