Solution:
Give pair of linear equations and .......... (3)To find the vertices of a triangle graphically, we will solve the equations in any one variable and make the table for the values of coordinates.
Solving the equation (1), writing y in terms of x and making the table for the co-ordinates.
2y=8+x
x | y |
-4 | 2 |
2 | 5 |
x | y |
1 | 3 |
-4 | 2 |
x | y |
1 | 0 |
2 | 5 |
From the graph, it is observed that the lines taken in pairs intersect each other at points A(-4,2), B(1,3) and C(2,5). Hence, the vertices of the triangle ABC are A(-4,2), B(1,3) and C(2,5).
Hence, option (1) is correct.
