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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

  ЁЯУШ Chapter 2: Fractions and Decimals | рдкूрд░्рдг рдЕрдз्‍рдпाрдп рд╕ाрд░ांрд╢ ЁЯФ╣ 1. Definition (рдкрд░िрднाрд╖ा) ЁЯФ╕ Fraction (рднिрди्рди): English: A number that represents a part of a whole. Hindi: рдРрд╕ा рд╕ंрдЦ्рдпा рдЬो рдХिрд╕ी рдкूрд░्рдг рд╡рд╕्рддु рдХा рдПрдХ рднाрдЧ рджрд░्рд╢ाрддी рд╣ै। ЁЯУМ Example: ЁЯФ╕ Decimal (рджрд╢рдорд▓рд╡): English: A number expressed using a decimal point (.) to represent part of a whole. Hindi: рджрд╢рдорд▓рд╡ рд╡рд╣ рд╕ंрдЦ्рдпा рд╣ोрддी рд╣ै рдЬिрд╕рдоें рдкूрд░्рдгांрдХ рдФрд░ рднिрди्рди рднाрдЧ рджрд╢рдорд▓рд╡ рдмिंрджु рд╕े рдЬुрдб़े рд╣ोрддे рд╣ैं। ЁЯУМ Example: 0.5, 2.75, 3.2 ЁЯФ╣ 2. Types of Fractions (рднिрди्рдиों рдХे рдк्рд░рдХाрд░) English Type Hindi Meaning Example Proper Fraction рд╕рд╣ी рднिрди्рди (Numerator < Denominator) 2/5, 3/8 Improper Fraction рдЕрд╢ुрдж्рдз рднिрди्рди (Numerator ≥ Denominator) 7/4, 5/5 Mixed Fraction рдоिрд╢्рд░िрдд рднिрди्рди 1½, 2¾ Like Fractions рд╕рдоाрди рд╣рд░ рд╡ाрд▓े рднिрди्рди 2/7, 5/7 Unlike Fractions рднिрди्рди рд╣рд░ рд╡ाрд▓े рднिрди्рди 2/3, 5/4 Unit Fraction рдЗрдХाрдИ рднिрди्рди (Numerator = 1) 1/2, 1/7 Equivalent Fraction рд╕рдорддुрд▓्рдп рднिрди्рди 1/2 = 2/4 = 3/6 ЁЯФ╣ 3. Decimal Number Types (рджрд╢рдорд▓рд╡ рд╕...
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Class 7th Math Ex 1.3 Solved By PREM SIR

  ЁЯЯж рдк्рд░рд╢्рдиाрд╡рд▓ी 1.3 | Exercise 1.3 Q1. рдиिрдо्рдирд▓िрдЦिрдд рдоें рд╕े рдк्рд░рдд्рдпेрдХ рдХा рдоाрди рдЬ्рдЮाрдд рдХीрдЬिрдП: Let’s solve each part step by step. (a) (–30) ÷ 10 Method 1 (Direct Division): ЁЯСЙ рдХ्рдпोंрдХि рдПрдХ negative number рдХो positive number рд╕े divide рдХрд░рдиे рдкрд░ result negative рдЖрддा рд╣ै। Method 2 (Using sign rules): Rule: (+ ÷ + = +) (- ÷ + = -) рддो, ✅ Answer = -3 (b) 50 ÷ (–5) Method 1 (Direct Division): ЁЯСЙ Method 2 (Sign Rule): (Positive ÷ Negative = Negative) ✅ Answer = -10 (c) (–36) ÷ (–9) Method 1 (Direct): ЁЯСЙ Method 2 (Rule): Negative ÷ Negative = Positive Toh ✅ Answer = +4 (d) (–49) ÷ (–49) Method 1 (Same Numbers): ЁЯСЙ 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

 рдмिрд▓рдХुрд▓! рдпрд╣ाँ рдкрд░ Class 8 Maths Chapter 2 – "рдПрдХ рдЪрд░ рд╡ाрд▓े рд░ेрдЦीрдп рд╕рдоीрдХрд░рдг" рдХा рдкूрд░ा рд╕ाрд░ांрд╢ (Summary) рджिрдпा рдЬा рд░рд╣ा рд╣ै: ✅ Formulas ЁЯЯв Keywords & Key Terms ⚡ Hacks & Shortcuts ЁЯЧг️ рд╕рдм рдХुрдЫ рджेрд╡рдиाрдЧрд░ी рд╣िंрджी, English, рдФрд░ pronunciation рдХे рд╕ाрде --- ЁЯУШ Chapter 2: рдПрдХ рдЪрд░ рд╡ाрд▓े рд░ेрдЦीрдп рд╕рдоीрдХрд░рдг (Linear Equations in One Variable) рдЙрдЪ्рдЪाрд░рдг: Ek Char Vaale Rekheey Sameekaran --- ЁЯза 1. рдорд╣рдд्рд╡рдкूрд░्рдг рдкрд░िрднाрд╖ाрдПँ (Important Definitions) рд╢рдм्рдж / Term рдЕрд░्рде / Meaning рдЙрдЪ्рдЪाрд░рдг рдЪрд░ (Variable) рдЬिрд╕рдХा рдоाрди рдкрддा рдирд╣ीं рд╣ोрддा Char рдиिрдпрддांрдХ (Constant) рдЬिрд╕рдХा рдоाрди рддрдп рд╣ोрддा рд╣ै Niyatank рд╕рдоीрдХрд░рдг (Equation) рдмрд░ाрдмрд░ी рд╡ाрд▓ा рдХрдерди Sameekaran рд░ेрдЦीрдп рд╕рдоीрдХрд░рдг рдРрд╕ा рд╕рдоीрдХрд░рдг рдЬिрд╕рдоें рдЪрд░ рдХी рдШाрдд 1 рд╣ो Rekheey Sameekaran рд╣рд▓ (Solution) рд╡рд╣ рдоाрди рдЬो рд╕рдоीрдХрд░рдг рдХो рд╕ंрддुрд╖्рдЯ рдХрд░े Hal LHS рд╕рдоीрдХрд░рдг рдХा рдмाрдпाँ рднाрдЧ Left Hand Side RHS рд╕рдоीрдХрд░рдг рдХा рджाрдпाँ рднाрдЧ Right Hand Side --- ✍️ 2. рдоुрдЦ्рдп Formulas ЁЯФ╣ Basic Linear Equation: ax + b = c \Rightarrow x = \frac{c - b}{a} --- ЁЯФ╣ рдЕрдЧрд░ рджोрдиों рддрд░рдл fractions рд╣ों: \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

  ЁЯЯж рдк्рд░рд╢्рдиाрд╡рд▓ी 2.1 | Question 1: 3x + 2 = 18 ЁЯУШ Method 1: Detailed Explanation Step 1: рд╕рдоीрдХрд░рдг рджिрдпा рд╣ै → 3x + 2 = 18 (рддीрди рдЧुрдиा x рдФрд░ 2 рдЬोрдб़рдиे рдкрд░ 18 рдЖрддा рд╣ै) ➡️ 3x + 2 = 18 ➡️ 3x = 18 - 2  (2 рдХो рджूрд╕рд░ी рддрд░рдл рд▓े рдЧрдП рддो sign рдмрджрд▓ рдЧрдпा) ➡️ 3x = 16 ➡️ x = 16 ÷ 3 ✅ рдЙрдд्рддрд░: x = 16/3 ЁЯСЙ рдЙрдЪ्рдЪाрд░рдг: "x barabar sola bata teen" ⚡ Method 2: Short Trick ЁЯза Formula: рдЬрдм рд╕рд╡ाрд▓ рд╣ो ax + b = c , рддो ✅ x = (c - b)/a рдпрд╣ाँ a = 3, b = 2, c = 18 ➡️ x = (18 - 2)/3 = 16/3 ✅ ЁЯЯж Question 2: 5t - 3 = 3t - 5 ЁЯУШ Method 1: Detailed Method ➡️ 5t - 3 = 3t - 5 Step 1: t рд╡ाрд▓ी terms рдХो рдПрдХ рддрд░рдл рд▓ाрдУ ➡️ 5t - 3t = -5 + 3 ➡️ 2t = -2 ➡️ t = -2 ÷ 2 = -1 ✅ Answer: t = -1 ЁЯСЙ рдЙрдЪ्рдЪाрд░рдг: "рдЯी рдмрд░ाрдмрд░ рдоाрдЗрдирд╕ рдПрдХ" ⚡ Method 2: Short Trick ЁЯза Formula: рдЬो t рд╡ाрд▓े terms рдПрдХ рддрд░рдл рд▓ाрдУ рдЬो рдиंрдмрд░ рд╡ाрд▓े terms рджूрд╕рд░ी рддрд░рдл ➡️ 5t - 3t = -5 + 3 → 2t = -2 ➡️ t = -1 ✅ ЁЯЯж Question 3: 5x + 9 = 5x - 3 ЁЯУШ Method 1: ➡️ 5x + 9 = 5x - 3 Step 1: 5x рдХो рд╣рдЯाрдУ рджोрдиों рддрд░рдл рд╕े ➡️ 5x - 5x + 9 = -3 ➡️ 0 + 9 = -3 ➡️ 9 ≠ -...
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