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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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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

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

From the graph, the vertices of the triangle are (-1, 0), (4, 0), and (2, 3).

☛ 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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