Exercise 3.1 Class 10 Maths Chapter 3 Solutions | Graphical Method #CBSE2025 #LinearEquations

Exercise 3.1 00:00 Question 1 Form the pair of linear equations in the following problems, and find their solutions graphically. 00:23 (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. 06:01 (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. 15:15 Question 2 On comparing the ratios a1/a2, b1/b2 and c1/c2, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: (i) 5x - 4y + 8 = 0 7x + 6y - 9 = 0 (ii) 9x + 3y + 12 = 0 18x + 6y + 24 = 0 (iii) 6x - 3y + 10 = 0 2x - y + 9 = 0 24:04 Question 3 On comparing the ratios a1/a2, b1/b2 and c1/c2, find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x + 2y = 5; 2x - 3y = 7 (ii) 2x - 3y = 8; 4x - 6y = 9 (iii) (3/2)x + (5/3)y = 7; 9x - 10y = 14 (iv) 5x - 3y = 11; -10x + 6y = -22 (v) (4/3)x + 2y = 8; 2x + 3y = 12 33:39 Question 4 Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: (i) x + y = 5, 2x + 2y = 10 (ii) x - y = 8, 3x - 3y = 16 (iii) 2x + y - 6 = 0, 4x - 2y - 4 = 0 (iv) 2x - 2y - 2 = 0, 4x - 4y - 5 = 0 42:58 Question 5 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. 48:11 Question 6 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 52:08 Question 7 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. This video explains all questions from Exercise 3.1 of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables. It focuses on the graphical method to solve linear equations and helps build a strong foundation for solving more complex problems. In this video, we explain: What is a pair of linear equations in two variables How to solve using the graphical method Step-by-step NCERT solutions How to identify the number of solutions from a graph This video is perfect for CBSE Class 10 students preparing for the 2025 board exams. It follows the NCERT textbook and helps with conceptual clarity and exam preparation. Whether you're in standard or basic maths, this will help you score better. Don’t forget to like the video, share it with your classmates, and subscribe for more chapter-wise and exercise-wise NCERT solutions. #Exercise3_1 #Class10Maths #Chapter3Maths #LinearEquations #GraphicalMethod #CBSE2025 #NCERTSolutions #StandardMaths #MathsWithGraphs #PairOfLinearEquations #CBSEClass10 Class 12 maths class 10 maths important questions cbse board important questions ONE SHOT MATHS ONE SHOT 12TH MATHS NDA PREVIOUS YEARS QUESTIONS CBSE BOARD 12TH PREVIOUS YEARS QUESTIONS CBSE BOARD 10TH PREVIOUS YEARS QUESTIONS IIT JEE MAINS PREVIOUS YEARS QUESTIONS IIT JEE ADVANCE PREVIOUS YEARS QESTIONS NDA PYQ 10TH PYQ 12TH PYQ IIT JEE MAINS PYQ IIT JEE ADVANCE PYQ JOIN ON INSTAGRAM:-   / plus_minus_institute   JOIN TELEGRAM CHANNEL:- https://t.me/plusminusinstitute JOIN ON FACEBOOK:-   / plusminusinstitute