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Showing posts with the label transitive relation concept

JEE Main Set Theory: Identify Relation Properties in 60 Sec 💡

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  ❓ Concept 🎬 Reflexive, Transitive but NOT Symmetric — Easy JEE Trick in 60 Sec Relations ke chapter mein yeh 3 words sabse zyada confusion create karte hain: Reflexive , Transitive , Symmetric . Good news? 👉 Inko samajhne ke liye formula nahi , sirf arrow-logic chahiye 🔥 🖼️ Concept Image ✍️ Short Explanation JEE mein relations ko ordered pairs se zyada, arrows on elements ke jaise socho. Jaise hi arrows clear hue, ✔ property identify ✔ options reject ✔ counting easy 🔹 Step 1 — Reflexive Relation Rule (NON-NEGOTIABLE ⚠️)** Agar set: A = { 1 , 2 , 3 } Toh reflexive hone ke liye: ( 1 , 1 ) ,   ( 2 , 2 ) ,   ( 3 , 3 ) MUST be present . 📌 Inme se ek bhi missing hua → relation reflexive hi nahi rahega. Self-loops = compulsory. 🔹 Step 2 — Transitive Relation Rule (CHAIN EFFECT 🔥)** Rule: ( a , b ) ∈ R  and  ( b , c ) ∈ R ⇒ ( a , c ) ∈ R (a,b)\in R \ \text{and}\ (b,c)\in R \Rightarrow (a,c)\in R Arrow language: Agar a → b...