Example 13. Draw the graphs of the equations
and
Deter mine the vertices of the triangle formed by the lines representing these equations and the x-axils. Shade the triangular region so formed.
Solution: - Let us take the equation
When,
When,
When,
x o 1 2 y -4 0 4 We plot the points (0, -4), (1, 0) and (2, 4) on the graph paper and join them. We get a straight line. Now we take the line AB.
4x + y = 121
When x = 2, y = 12 - 4 x 2 = 4
When x = 3, y = 12 - 4 x 3 = 0
When x = 4, y = 12 - 4 x 4 = -4.
x 2 3 4 y 4 0 -4 We plot the points (2, 4) (3, 0) and (4, -4) on the same graph paper. on joining them we get a line CD which intersect previous line AB. at P (2, 4)
AB intersects the x-axis at (1, 0) and CD intersects the x-axis at (3, 0)
Hence the vertices of the triangle PBD are (2, 4), (1, 0) and (3, 0) . The required region is shaded.
| Subjects | Maths (Part-1) by Mr. M. P. Keshari |
| Chapter 1 | Linear Equations in Two Variables |
| Chapter 2 | HCF and LCM |
| Chapter 3 | Rational Expression |
| Chapter 4 | Quadratic Equations |
| Chapter 5 | Arithmetic Progressions |
| Chapter 6 | Instalments |
| Chapter 7 | Income Tax |
| Chapter 8 | Similar Triangles |
