CBSE Class 10 Pair of Linear Equations in Two Variables Sure Shot Questions Set C

Read and download the CBSE Class 10 Pair of Linear Equations in Two Variables Sure Shot Questions Set C. Designed for 2025-26, this advanced study material provides Class 10 Mathematics students with detailed revision notes, sure-shot questions, and detailed answers. Prepared by expert teachers and they follow the latest CBSE, NCERT, and KVS guidelines to ensure you get best scores.

Advanced Study Material for Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables

To achieve a high score in Mathematics, students must go beyond standard textbooks. This Class 10 Chapter 3 Pair of Linear Equations in Two Variables study material includes conceptual summaries and solved practice questions to improve you understanding.

Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables Notes and Questions

 

CBSE Class 10 Pair of Linear Equations Sure Shot Questions Set C. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations.  Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

Solve each of the following system of linear equations graphically:

1. x+2y=3;         4x+3y=2.

2. 2x+3y= 8;       x-2y+3=0. 

3. x +2y+2=0;     3x+2y- 2 = 0.

4. 4x+3y=5;        2y-x=7.

5. 2x-3y=1;         3x-4y=1.

6. 2x+3y=4;        3x-y=-5.

7. x-y+1=0;         3x+2y-12=0.

8. 3x+2y=4;         2x-3y=7.

9. 2x+3y=2;         x-27=8.

10. 2x-5y+4=0;    2x+y-8=0.

11. 3x+y+1=0;     2x-3y+8=0.

12. Solve the following system of linear equations graphically:

2x- 3y- 17 =0;  4x+y-13=0 . Shade the region bounded by the above lines and x-axis.

13. Solve the following system of linear equations graphically: 2x+ 3y= 4;   3x-y=-5. Shade the region bounded by the above lines and y-axis.

14. Solve the following system of linear equations graphically: 4x-y= 4;    3x+ 2y=14.  Shade the region bounded by the above lines and y-axis.

15. Solve the following system of linear equations graphically: x+2=5;   2x-3y=-4. Shade the region bounded by the above lines and y-axis.

16. Draw the graphs of the equations 4x-y-8= 0;    2x-3y+6=0 . Also determine the vertices of the triangle formed by the lines and x-axis.

17. Solve the following system of linear equations graphically: 2x-y= 1;    x- y =-1 . Shade the region bounded by the above lines and y-axis.

18. Solve the following system of linear equations graphically: 5x-y= 7;     x- y+1=0 . Calculate the area bounded by these lines and y-axis. 

19. Solve the following system of linear equations graphically: 4x -3y + 4 = 0; 4x+3y - 20 = 0 . Calculate the area bounded by these lines and x-axis.
 
20. Solve the following system of linear equations graphically: 4x -5y - 20 = 0; 3x + 5y -15 = 0. Find the coordinates of the vertices of the triangle formed by these lines and y-axis.
 
21. Solve the following system of linear equations graphically: 2x - 5y + 4 = 0; 2x + y - 8 = 0. Find the points where these lines meet the y-axis.
 
22. Solve the following system of linear equations graphically: 2x + y - 5 = 0; x + y - 3 = 0 . Find the points where these lines meet the y-axis.
 
23. Solve the following system of linear equations graphically: 4x - 5y + 16  0; 2x + y _ 6 = 0 . Find the coordinates of the vertices of the triangle formed by these lines and y-axis.
 
24. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
 
25. Solve the following system of linear equations graphically: 3x + y - 11= 0; x - y - 1 = 0 . Shade the region bounded by these lines and the y-axis. Find the points where these lines cut the y-axis.

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CBSE Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables Study Material

Students can find all the important study material for Chapter 3 Pair of Linear Equations in Two Variables on this page. This collection includes detailed notes, Mind Maps for quick revision, and Sure Shot Questions that will come in your CBSE exams. This material has been strictly prepared on the latest 2026 syllabus for Class 10 Mathematics. Our expert teachers always suggest you to use these tools daily to make your learning easier and faster.

Chapter 3 Pair of Linear Equations in Two Variables Expert Notes & Solved Exam Questions

Our teachers have used the latest official NCERT book for Class 10 Mathematics to prepare these study material. We have included previous year examination questions and also step-by-step solutions to help you understand the marking scheme too. After reading the above chapter notes and solved questions also solve the practice problems and then compare your work with our NCERT solutions for Class 10 Mathematics.

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