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Ch 3 ....

Chapter 3: Quadrilaterals and Polygons - Prem♾️Eternal Education Prem♾️ Eternal Education Contact: 6200409895 Address: 312/6, Indra Enclave Phase 1, Kirari Chapter 3: Quadrilaterals and Polygons This chapter covers key concepts, formulas, and properties of quadrilaterals and polygons, including the types of quadrilaterals, their properties, and how to calculate their area and perimeter. Key Terms Parallelogram: A quadrilateral where opposite sides and angles are equal. Rectangle: A parallelogram with all angles equal to 90°. Square: A rectangle with all sides equal. Rhombus: A parallelogram with all sides equal, but angles are not necessarily 90°. Trapezium: A quadrilateral with only one pair of opposite sides parallel. Important Formulas Area of Parallelogram: Base × Height Perimeter of Parallelogram: 2 × (Base + Side) Area...
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Class 8 Math Ch 3

Understanding Quadrilaterals (Quadrilaterals ko samajhna) Quadrilaterals ek aise polygon (shape) ko kaha jata hai jo 4 sides se bana ho. Har quadrilateral ke 4 vertices (corners) aur 4 angles hote hain. Quadrilaterals ko samjho: Quadrilateral ka matlab hai : "4 sides waala shape." Polygon matlab ek closed figure, jisme multiple sides hote hain. Quadrilaterals mein 4 sides aur 4 angles hote hain. Ye har angle ko ek side ke beech banate hain. Quadrilateral ke Types (Quadrilaterals ke prakar) Rectangle: Opposite sides equal hote hain. 4 right angles hote hain (matlab har angle 90° ka hota hai). Example : Aapka room ka shape, ya table ka shape. Square: Sab sides equal hote hain. 4 right angles hote hain. Example : Ek perfect box, ya chessboard ke squares. Parallelogram: Opposite sides equal hote hain. Opposite angles equal hote hain. Example : Ek slanted rectangle, jaise koi tilting table. Rhombus: Sab sides equal hote hain....
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Class 7th Ch 2 - Fractions and Decimals By PREM SIR

  📘 Chapter 2: Fractions and Decimals | पूर्ण अध्‍याय सारांश 🔹 1. Definition (परिभाषा) 🔸 Fraction (भिन्न): English: A number that represents a part of a whole. Hindi: ऐसा संख्या जो किसी पूर्ण वस्तु का एक भाग दर्शाती है। 📌 Example: 🔸 Decimal (दशमलव): English: A number expressed using a decimal point (.) to represent part of a whole. Hindi: दशमलव वह संख्या होती है जिसमें पूर्णांक और भिन्न भाग दशमलव बिंदु से जुड़े होते हैं। 📌 Example: 0.5, 2.75, 3.2 🔹 2. Types of Fractions (भिन्नों के प्रकार) English Type Hindi Meaning Example Proper Fraction सही भिन्न (Numerator < Denominator) 2/5, 3/8 Improper Fraction अशुद्ध भिन्न (Numerator ≥ Denominator) 7/4, 5/5 Mixed Fraction मिश्रित भिन्न 1½, 2¾ Like Fractions समान हर वाले भिन्न 2/7, 5/7 Unlike Fractions भिन्न हर वाले भिन्न 2/3, 5/4 Unit Fraction इकाई भिन्न (Numerator = 1) 1/2, 1/7 Equivalent Fraction समतुल्य भिन्न 1/2 = 2/4 = 3/6 🔹 3. Decimal Number Types (दशमलव स...
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Class 7th Math Ex 1.3 Solved By PREM SIR

  🟦 प्रश्नावली 1.3 | Exercise 1.3 Q1. निम्नलिखित में से प्रत्येक का मान ज्ञात कीजिए: Let’s solve each part step by step. (a) (–30) ÷ 10 Method 1 (Direct Division): 👉 क्योंकि एक negative number को positive number से divide करने पर result negative आता है। Method 2 (Using sign rules): Rule: (+ ÷ + = +) (- ÷ + = -) तो, ✅ Answer = -3 (b) 50 ÷ (–5) Method 1 (Direct Division): 👉 Method 2 (Sign Rule): (Positive ÷ Negative = Negative) ✅ Answer = -10 (c) (–36) ÷ (–9) Method 1 (Direct): 👉 Method 2 (Rule): Negative ÷ Negative = Positive Toh ✅ Answer = +4 (d) (–49) ÷ (–49) Method 1 (Same Numbers): 👉 Method 2 (Trick): Kisi bhi number ka same negative se division hamesha +1 hota hai. (-x ÷ -x = +1) ✅ Answer = +1 (e) 13 ÷ [–(–2) + 1] Step by Step Method 1: First solve the bracket: –(–2) = +2 So: 13 ÷ (2 + 1) = 13 ÷ 3 ❗ Yeh 13 ÷ 3 = 4.33 (decimal) Par yeh answer fractions mein acceptable hoga. Method 2 (Fraction form): ✅ Answer = 13/3 or appro...
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Class 8th math ch2

 बिलकुल! यहाँ पर Class 8 Maths Chapter 2 – "एक चर वाले रेखीय समीकरण" का पूरा सारांश (Summary) दिया जा रहा है: ✅ Formulas 🟢 Keywords & Key Terms ⚡ Hacks & Shortcuts 🗣️ सब कुछ देवनागरी हिंदी, English, और pronunciation के साथ --- 📘 Chapter 2: एक चर वाले रेखीय समीकरण (Linear Equations in One Variable) उच्चारण: Ek Char Vaale Rekheey Sameekaran --- 🧠 1. महत्वपूर्ण परिभाषाएँ (Important Definitions) शब्द / Term अर्थ / Meaning उच्चारण चर (Variable) जिसका मान पता नहीं होता Char नियतांक (Constant) जिसका मान तय होता है Niyatank समीकरण (Equation) बराबरी वाला कथन Sameekaran रेखीय समीकरण ऐसा समीकरण जिसमें चर की घात 1 हो Rekheey Sameekaran हल (Solution) वह मान जो समीकरण को संतुष्ट करे Hal LHS समीकरण का बायाँ भाग Left Hand Side RHS समीकरण का दायाँ भाग Right Hand Side --- ✍️ 2. मुख्य Formulas 🔹 Basic Linear Equation: ax + b = c \Rightarrow x = \frac{c - b}{a} --- 🔹 अगर दोनों तरफ fractions हों: \frac{ax + b}{m} = \frac{cx + d}{n} \Rightarrow \text{C...
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Class 8th Math Ex 2.2

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Class 8 th Math Ex 2.1

  🟦 प्रश्नावली 2.1 | Question 1: 3x + 2 = 18 📘 Method 1: Detailed Explanation Step 1: समीकरण दिया है → 3x + 2 = 18 (तीन गुना x और 2 जोड़ने पर 18 आता है) ➡️ 3x + 2 = 18 ➡️ 3x = 18 - 2  (2 को दूसरी तरफ ले गए तो sign बदल गया) ➡️ 3x = 16 ➡️ x = 16 ÷ 3 ✅ उत्तर: x = 16/3 👉 उच्चारण: "x barabar sola bata teen" ⚡ Method 2: Short Trick 🧠 Formula: जब सवाल हो ax + b = c , तो ✅ x = (c - b)/a यहाँ a = 3, b = 2, c = 18 ➡️ x = (18 - 2)/3 = 16/3 ✅ 🟦 Question 2: 5t - 3 = 3t - 5 📘 Method 1: Detailed Method ➡️ 5t - 3 = 3t - 5 Step 1: t वाली terms को एक तरफ लाओ ➡️ 5t - 3t = -5 + 3 ➡️ 2t = -2 ➡️ t = -2 ÷ 2 = -1 ✅ Answer: t = -1 👉 उच्चारण: "टी बराबर माइनस एक" ⚡ Method 2: Short Trick 🧠 Formula: जो t वाले terms एक तरफ लाओ जो नंबर वाले terms दूसरी तरफ ➡️ 5t - 3t = -5 + 3 → 2t = -2 ➡️ t = -1 ✅ 🟦 Question 3: 5x + 9 = 5x - 3 📘 Method 1: ➡️ 5x + 9 = 5x - 3 Step 1: 5x को हटाओ दोनों तरफ से ➡️ 5x - 5x + 9 = -3 ➡️ 0 + 9 = -3 ➡️ 9 ≠ -...
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