Class 10 Maths ke Chapter 2 "Polynomials" ke important questions ka ek collection hai, jo board exam ki taiyari kar rahe students ke liye bahut hi upyogi hoga. Isme questions ko 4 sections me divide kiya gaya hai – Basic Conceptual Questions, Application-Based Questions, Graphical and Word Problems, aur Challenge Questions – jisse students asaani se easy se lekar tough level tak ka practice kar saken. Yeh questions sirf exam ke liye hi nahi, balki concepts samajhne, graphs draw karne aur equations banane ke liye bhi kaafi helpful hain.
👉 Sabhi questions ke answers niche diye gaye PDF file mein uplabdh hain.
Class 10th Chapter 2 Polynomial Imp Question For Board
Section A: Basic Conceptual Questions (1 mark each)
1. Write the standard form of a linear equation in two variables.
2. Express the equation x + 3y = 7 in standard form.
3. Find the value of k if x = 2, y = 1 is a solution of 2x + 3y = k.
4. Write four solutions of the equation x + y = 5.
5. What is the graph of x = 3?
7. Find the value of a if (3,4) lies on the line 3y = ax + 7.
8. Write a linear equation whose graph passes through (2,3).
9. If the taxi fare is ₹10 for the first km and ₹5/km after that, write the equation for total fare y in terms of distance x.
10. Find the point where the line 2x + 3y = 6 cuts the y-axis.
12. A lending library charges ₹20 for 3 days and ₹5/day after that. Write the equation and draw the graph.
13. Show that points A(1,2), B(–1,–16), C(0,–7) lie on y = 9x – 7.
14. Write the equation of a line whose ordinate is always twice the abscissa.
15. Find four solutions of πx + y = 9.
17. Find the area bounded by the line x + 2y = 6 and the axes.
18. Write the equation of a line passing through origin and parallel to y-axis.
4. Write four solutions of the equation x + y = 5.
5. What is the graph of x = 3?
Section B: Application-Based Questions (2–3 marks each)
6. Draw the graph of y = 2x.7. Find the value of a if (3,4) lies on the line 3y = ax + 7.
8. Write a linear equation whose graph passes through (2,3).
9. If the taxi fare is ₹10 for the first km and ₹5/km after that, write the equation for total fare y in terms of distance x.
10. Find the point where the line 2x + 3y = 6 cuts the y-axis.
Section C: Graphical and Word Problems (3–4 marks each)
11. Draw the graph of 3x + 4y = 12 and find where it cuts the x-axis.12. A lending library charges ₹20 for 3 days and ₹5/day after that. Write the equation and draw the graph.
13. Show that points A(1,2), B(–1,–16), C(0,–7) lie on y = 9x – 7.
14. Write the equation of a line whose ordinate is always twice the abscissa.
15. Find four solutions of πx + y = 9.
Section D: Challenge Questions (4–5 marks each)
16. A body moves with constant force. Work done is proportional to distance. Write the equation and draw the graph (Force = 5 units).17. Find the area bounded by the line x + 2y = 6 and the axes.
18. Write the equation of a line passing through origin and parallel to y-axis.
19. Find the number of solutions of x + 2y – 8 = 0 and 2x + 4y = 16.
20. Draw the graph of y = 3x and check if (2,6) lies on it.
21. Write the equation of a line whose solutions have coordinate difference of 8.
22. Find the value of b in bx + y = 8 for x = 3, y = 2.
23. Check if (–3,–3) satisfies 3(x–1) – 2y = 4.
24. Write two equations of lines passing through (–6,2).
25. Express 4x – 8 = 0 in standard form and find a, b, c.
📥 Answer PDF Download Link: [Download Answers PDF]
