Chapter 2 End-of-Chapter Exercise Full Solution | Class 9 Ganita Manjari

Class 9 Maths | Chapter 2 End-of-Chapter Exercise Complete Solution In this video, we solve all the questions from Chapter 2 End Exercise in a simple and easy-to-understand way. Perfect for Class 9 students preparing for school exams, unit tests, and homework. ✅ All Questions Solved ✅ Step-by-Step Explanation ✅ Easy Hinglish Language ✅ Exam-Oriented Solutions ✅ Quick Revision for Students 📌 Chapter: 2 📌 Subject: Mathematics 📌 Class: 9 If this video helps you, don't forget to: 👍 Like 💬 Comment 🔔 Subscribe 📢 Share with your friends #Class9Maths #Chapter2 #EndExercise #GanitaManjari #MathsSolution #Class9Mathematics #NCERTMaths #MathsHindi #ExamPreparation #StudyWithUs 1.Write a polynomial of degree 3 in the variable x, in which the coefficient of the x2 term is –7. 2.Find the values of the following polynomials at the indicated values of the variables. (i) 5x2 – 3x + 7 if x = 1 (ii) 4t3 – t2 6 if t = a 3. If we multiply a number by 5 2 and add 3 2 to the product, we get –7 12. Find the number. 4. A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? 5. If you have `800 and you save `250 every month, find the amount you have after (i) 6 months (ii) 2 years. Express this as a linear pattern. *6. The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. Find both the numbers. *7. Draw the graph of the following equations, and identify their slopes and y-intercepts. Also, find the coordinates of the points where these lines cut the y-axis. (i) y = –3x + 4 (ii) 2y = 4x + 7 (iii) 5y = 6x – 10 (iv) 3y = 6x – 11*10. The graph of a linear polynomial p(x) passes through the points (1, 5) and (3, 11). (i) Find the polynomial p(x). (ii) Find the coordinates where the graph of p(x) cuts the axes. (iii) Draw the graph of p(x) and verify your answers. *11. Let p(x) = ax + b and q(x) = cx + d be two linear polynomials such that: (i) p(0) = 5. (ii) The polynomial p(x) – q(x) cuts the x-axis at (3, 0). (iii) The sum p(x) + q(x) is equal to 6x + 4 for all real x. Find the polynomials p(x) and q(x). *12. Look at the first three stages of a growing pattern of hexagons made using matchsticks. A new hexagon gets added at every stage which shares a side with the last hexagon of the previous stage. Are any of the lines parallel? *8. If the temperature of a liquid can be measured in Kelvin units as x K and in Fahrenheit units as y °F, the relation between the two systems of measurement of temperature is given by the linear equation y = 9 5 (x – 273) + 32. (i) Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 313 K. (ii) If the temperature is 158 °F, then find the temperature in Kelvin. *9. The work done by a body on the application of a constant force is the product of the constant force and the distance travelled by the body in the direction of the force. Express this in the form of a linear equation in two variables (work w and distance d), and draw its graph by taking the constant force as 3 units. What is 38 Ganita Manjari | Grade 9 | Part I the work done when the distance travelled is 2 units? Verify it by plotting it on the graph. v) How many matchsticks will be required for the 15th stage of the pattern? (v) Can 200 matchsticks form a stage in this pattern? Justify your answer. *13. Let p(x) = ax + b and q(x) = cx + d be two linear polynomials such that: (i) The graph of p(x) passes through the points (2, 3) and (6, 11). (ii) The graph of q(x) passes through the point (4, –1). (iii) The graph of q(x) is parallel to the graph of p(x). Find the polynomials p(x) and q(x). Also, find the coordinates of the point where these lines meet the x-axis. *14. What do all linear functions of the form f(x) = ax + a, a, have in common?