Class 10 Maths Chapter 4 | Quadratic Equations Exercise 4.2 & 4.3 Full Solutions & Word Problem

In this lecture, we complete the remaining word problems of Exercise 4.2 and solve all questions of Exercise 4.3 from NCERT Class 10 Maths Chapter 4 (Quadratic Equations). Learn how to convert word problems into standard quadratic form step-by-step, factorize efficiently, understand the Nature of Roots using the discriminant (D = b^2 - 4ac), and determine whether practical geometric and real-life scenarios are possible! ⏱️ Timestamps / Chapters [00:13] – Introduction & Overview of Session [00:27] – Exercise 4.2: Q3 (Find two numbers whose sum is 27 and product is 182) [03:28] – Exercise 4.2: Q4 / Example 1 Word Problem (John and Jivanti Marbles Problem) [07:09] – Exercise 4.2: Word Problem (Cottage Industry Toy Production Cost) [12:14] – Exercise 4.2: Consecutive Positive Integers Problem [14:35] – Exercise 4.2: Right Triangle Altitude & Base Problem [17:25] – Exercise 4.2: Pottery Articles Production Cost Problem [22:15] – Exercise 4.3: Concept of Nature of Roots & Discriminant (D = b^2 - 4ac) [23:54] – Exercise 4.3: Q1 (Finding Nature of Roots for Given Quadratic Equations) [26:07] – Exercise 4.3: Q2 (Find the value of k for Equal Roots) [29:06] – Exercise 4.3: Q3 (Rectangular Mango Grove Design Problem) [30:20] – Exercise 4.3: Q4 (Age of Two Friends Problem & Feasibility Check) [34:35] – Exercise 4.3: Q5 (Rectangular Park Perimeter & Area Problem) [37:08] – Chapter Wrap-Up & Next Chapter Preview (Arithmetic Progressions) 📚 Key Topics Covered Step-by-step factorization method & splitting the middle term Avoiding common algebraic assumptions (single-variable vs two-variable modeling) Application of Baudhayana / Pythagoras theorem in quadratic equations Understanding real, equal, and non-real (imaginary) roots Rejecting extraneous or geometrically impossible negative solutions 🏷️ Relevant Hashtags & Tags #Class10Maths #QuadraticEquations #NCERTClass10 #Class10CBSE #MathsClass10 #DhanabOnlineLecture #NatureOfRoots #FactorizationMethod #BoardExamPrep