Exemplar problems XXIV — task. Mathematics CBSE, Class 10.

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

$3x - y = 3$ ,

$2x - 3y = 2$ and

$x + 2y = 8$ .

Answer:

The vertices of the triangle are

$(1,0)$ , $(4,2)$ , $(2,-3)$
$(-1,0)$ , $(4,2)$ , $(2,3)$
$(1,0)$ , $(-4,2)$ , $(2,3)$
$(1,0)$ , $(4,2)$ , $(2,3)$

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