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3. Pair of Linear Equations in Two Variables Mathematics class 10 in English Medium ncert book solutions Exercise 3.2
3. Pair of Linear Equations in Two Variables Exercise 3.2 – Complete NCERT Book Solutions for Class 10 Mathematics (English Medium). Get all chapter explanations, extra questions, solved examples and additional practice questions for 3. Pair of Linear Equations in Two Variables Exercise 3.2 to help you master concepts and score higher.
3. Pair of Linear Equations in Two Variables Mathematics class 10 in English Medium ncert book solutions Exercise 3.2
NCERT Solutions for Class 10 Mathematics play an important role in helping students understand the concepts of the chapter 3. Pair of Linear Equations in Two Variables clearly. This chapter includes the topic Exercise 3.2, which is essential from both academic and examination point of view. The solutions provided here are prepared strictly according to the latest NCERT syllabus and follow the guidelines of CBSE to ensure accuracy and relevance. Each question is explained in a simple and student-friendly manner so that learners can grasp the concepts without confusion. These NCERT Solutions are useful for regular study, homework help, and exam preparation. All textbook questions are solved step by step to improve problem-solving skills and conceptual clarity. Students of Class 10 studying Mathematics can use these solutions to revise important topics, understand difficult questions, and practise effectively before examinations. The chapter 3. Pair of Linear Equations in Two Variables is explained in a structured way, making it easier for students to connect the theory with the topic Exercise 3.2. By studying these updated NCERT Solutions for Class 10 Mathematics, students can build a strong foundation, boost their confidence, and score better marks in school and board exams.
3. Pair of Linear Equations in Two Variables
Exercise 3.2
Exercise 3.2
Q1. Form the pair of linear equations in the following problems, and find their solutions graphically.
(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
Solution:
Let the numbers of girls be x.
And the number of girls is y.
According to question
The total numbers of boys and girls is 10.
∴ x + y = 10 ……………….. (i)
There are 4 more girls than boys.
∴ x – y = 4 ……………….. (ii)
Table for equation (i)
Graph for these tables will be as follow -
(ii) 5 pencils and 7 pens together cost Rs 50, whereas 7 pencils and 5 pens together cost Rs 46. Find the cost of one pencil and that of one pen.
Solution:
Q5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
Solution: Let the length of rectangular garden be x m.
And breadth = y m
Semi-perimeter = 36 m
Q6. Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) Intersecting lines
(ii) parallel lines
(iii) Coincident lines
Q7. 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.
See other sub-topics of this chapter:
1. Exercise 3.1 2. Exercise 3.2 3. Exercise 3.3 4. Exercise 3.4 5. Exercise 3.5 6. Exercise 3.6 7. Exercise 3.7