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Question -

Determine,graphically, the vertices of the triangle formed by the lines

x, 3x=8



Answer -

Solution:

Given linear equationsare

y = x …(i)

3y = x …(ii)

and x + y = 8 …(iii)

Table for line y = x,

x

0

1

2

y

0

1

2

 

Table for line x = 3y,

x

0

3

6

y

0

1

2

 

Table for line x + y =8

x

0

4

8

y

8

4

0

 

Plotting the points A(1, 1), B(2,2), C (3, 1), D (6, 2), we get the straight lines AB and CD.

Similarly, plottingthe point P (0, 8), Q(4, 4) and R(8, 0), we get the straight line PQR.

AB and CD intersectsthe line PR on Q and D, respectively.

So, OQD is formed by these lines. Hence, thevertices of the OQD formed by thegiven lines are O(0, 0), Q(4, 4) and D(6,2).

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