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.
Solution:
By plotting the graph of two linear equations and x-axis, a triangle can be formed and shaded and hence, the vertices can be located.
x - y + 1 = 0
⇒ y = x + 1
x |
-1 |
2 |
y = x + 1 |
0 |
3 |
3x + 2y -12 = 0
⇒ 2y = 12 - 3x
⇒ y = (12 - 3x) / 2
x |
4 |
2 |
y = (12 - 3x) / 2 |
0 |
3 |
From the graph, the vertices of the triangle are (-1, 0), (4, 0), and (2, 3).
ā Check: NCERT Solutions Class 10 Maths Chapter 3
Video Solution:
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.
NCERT Solutions for Class 10 Maths - Chapter 3 Exercise 3.2 Question 7
Summary:
For the graphs of the equations x - y + 1 = 0 and 3x + 2y - 12 = 0, the coordinates of the vertices of the triangle formed by these lines and the x-axis are (-1, 0), (4, 0), and (2, 3).
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