3. Pair of Linear Equations in Two Variables Mathematics Exercise - 3.2 class 10 Maths in English - CBSE Study
NCERT Solutions for Class 10 Mathematics are carefully prepared according to the latest CBSE syllabus and NCERT textbooks to help students understand every concept clearly. These solutions cover all important 3. Pair of Linear Equations in Two Variables with detailed explanations and step-by-step answers for better exam preparation. Each Exercise 3.2 is explained in simple language so that students can easily grasp the fundamentals and improve their academic performance. The study material is designed to support daily homework, revision practice, and final exam preparation for Class 10 students. With accurate answers, concept clarity, and structured content, these NCERT solutions help learners build confidence and score higher marks in their examinations. Whether you are revising a specific topic or preparing an entire chapter, this resource provides reliable and syllabus-based guidance for complete success in Mathematics.
Class 10 English Medium Mathematics All Chapters:
3. Pair of Linear Equations in Two Variables
2. 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.
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