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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