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

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

$5x - y = 5$ ,

$x + 2y = 1$ and

$6x + y = 17$ .

Answer:

The vertices of the triangle are

$(1,0)$ , $(3,-1)$ , $(-2,5)$
$(1,0)$ , $(-3,-1)$ , $(2,5)$
$(-1,0)$ , $(3,-1)$ , $(2,5)$
$(1,0)$ , $(3,-1)$ , $(2,5)$

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