ISC Class 12 Maths Section C | Application of Calculus, Regression & Linear Programming | Board Prep скачать в хорошем качестве

ISC Class 12 Maths Section C | Application of Calculus, Regression & Linear Programming | Board Prep

ISC Class 12 Maths Section C Application of Calculus, Regression & Linear Programming Board Prepration Dear Students, In this video, I presents a complete exam preparation guide for ISC Class 12 Maths – Section C, covering: 📘 Unit 8 – Application of Calculus 📘 Unit 9 – Linear Regression 📘 Unit 10 – Linear Programming 📌 Section C carries 15 marks, making it an important scoring section in the ISC Board Examination 2026. This video series explains all concepts in a clear, step-by-step, board-oriented manner to help students secure maximum marks. To ensure thorough practice, a single combined PDF of Section C Specimen Paper has been uploaded containing: ✔ Specimen Paper 2026 ✔ Specimen Paper 2025 ✔ Board Examination 2025 ✔ Board Examination 2024 ✔ Board Examination 2023 📄 Students are strongly advised to download the PDF from the description box, take a printout, and practise all questions seriously for Pre-Board and Final Board Examination 2026 preparation. 📘 Topics Covered in Section C: 🔹 Unit 8 – Application of Calculus • Maxima and Minima Problems • Optimization Problems • Increasing and Decreasing Functions 🔹 Unit 9 – Linear Regression • Regression Line • Correlation Concepts • Numerical-based Regression Questions 🔹 Unit 10 – Linear Programming • Formulation of LPP • Graphical Method • Optimization of Objective Function 🔹 What this video series offers: ✔ Complete coverage of Section C (15 Marks) ✔ Board-pattern questions solved step-by-step ✔ Concept clarity with logical explanation ✔ Strategy for correct mathematical presentation ✔ Common mistakes and how to avoid them ✔ Ideal revision resource before boards 📌 Why this preparation strategy works: Practising unit-wise board and specimen papers helps students understand question patterns, improve speed and accuracy, and build confidence for the ISC Board Examination 2026. 🎯 This video is ideal for ISC Class 12 students aiming to score high marks in Section C. 👉 Download the PDF, practise regularly, and strengthen Units 8, 9 & 10 for guaranteed improvement in board performance. PDF : https://drive.google.com/file/d/1I6-U... Thanks Dr. Ajay Kumar Gupta Question no –19 [1 Marks Each] Which condition is true If Average Cost (AC) is constant at all levels of output? [SP2025] MCAC b. MC=AC MCAC d. MC= 1/2 AC The total revenue received from the sale of x unit of a product is given by R (x) = 3x2 + 36 x + 5. Find the marginal revenue when x = 5. [SP2025] A manufacturing company finds that the daily cost of producing x items of product is given by C(x) = 210 x + 7000. Find the minimum number that must be produced and sold daily for breakeven,If each item is sold for Rs 280. [SP2025] Question no – 20 [2 Marks] (i) A real estate company is going to build a new residential complex. The land they have purchased can hold at the most 500 apartments. Also, if they make x apartments, then the monthly maintenance cost for the whole complex would be as follows: Fixed cost = 4000 Variable cost = (14x − 0.04x2) How many apartments should the complex have in order to minimize the maintenance costs? OR (ii) The demand function of a monopoly is given by x = 100 – 4p. Find the quantity at which the Marginal Revenue will be zero. [SP2025] (ii) Which of the following statement(s) is/are correct with respect to regression coefficients? Statement 1: It measures the degree of linear relationship between two variables. Statement 2: It gives the value by which one variable changes for a unit change in the other variable. Which of the following is correct? a) Statement 1 is true and Statement 2 is false. b) Statement 2 is true and Statement 1 is false. c) Both the statements are true. d) Both the statements are false. ) The feasible region for an L.P.P. is shown in the adjoining figure: Based on the given graph, answer the following questions. Write the constraints for the L.P.P. Find the co-ordinates of the point B. Find the maximum value of the objective function Z = x + y. cisceclass videos #cisceclassvideos