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The Orthocentre

Find the orth...

Question

Find the orthocentre of the triangle with the equations of whose sides are
$x + y = 1, 2 x + 3 y = 6, 4 x - y = 0$
In which quadrant does it lie?

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Solution

Orthocentre is $(3 / 7, 22 / 7)$

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