Question

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are :

(i) y = x, y = 2x and y + x = 6
(ii) y = x, 3y = x, x + y = 8

Answer 1

(i) The given equations are

_{The two points satisfying (i) can be listed in a table as,}

	0	1
	0	1

_{The two points satisfying (ii) can be listed in a table as,}

	1	3
	2	6

_{The two points satisfying (iii) can be listed in a table as,}

	0	6
	6	6

Now, graph of equations (i), (ii) and (iii) can be drawn as,

It is seen that the coordinates of the vertices of the obtained triangle are

(ii) The given equations are

_{The two points satisfying (i) can be listed in a table as,}

	0	2
	0	2

_{The two points satisfying (ii) can be listed in a table as,}

	3	–3
	1	–1

_{The two points satisfying (iii) can be listed in a table as,}

	3	5
	5	3

Now, graph of equations (i), (ii) and (iii) can be drawn as,

It is seen that the coordinates of the obtained triangle are