CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
Last updated at July 25, 2026 by Teachoo
This question is similar to Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Ex 3.1
Please check the question here
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Transcript
Question 31 (Choice B) Solve the following system of equations graphically: 2š„ + š¦ = 6, 2š„ ā š¦ ā 2 = 0. Find the area of the triangle so formed by two lines and š„ - axis.Our equations are 2x + y = 6 2x ā y = 2 For Equation (1) 2x + y = 6 Putting y = 0 2x + 2(0) = 6 2x = 6 x = 6/2 x = 3 So, x = 3, y = 0 is a solution i.e. (2, 0) is a solution Putting x = 0 2(0) + y = 6 0 + y = 6 y = 6 So, x = 0, y = 6 is a solution i.e. (0, 6) is a solution For Equation (2) 2x ā y = 2 Putting x = 0 2(0) ā y = 2 0 ā y = 2 āy = 2 y = ā2 So, x = 0, y = ā2 is a solution i.e. (0, ā2) is a solution Putting y = 0 2x ā 0 = 2 2x = 2 x = 2/2 x = 1 So, x = 1, y = 0 is a solution i.e. (1, 0) is a solution We will plot both equations on the graph Area of Required triangle Triangle has Base = 2 units Height = 2 units Thus, Area of triangle = 1/2 Ć Base Ć Height = 1/2 Ć 2 Ć 2 = 2 square units
