Let \( \mathrm{k} \) be an integer such that triangle with vertices \( (\mathrm{k},-3 \mathrm{k}...

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Let \( \mathrm{k} \) be an integer such that triangle with vertices \( (\mathrm{k},-3 \mathrm{k}),(5, \mathrm{k}) \) and \( (-\mathrm{k}, 2) \) has area 28 sq. units. Then the orthocentre of this triangle is at the point
\( \mathrm{P} \)
(1) \( \left(2, \frac{-1}{2}\right) \)
(2) \( \left(1, \frac{3}{4}\right) \)
(3) \( \left(1, \frac{-3}{4}\right) \)
(4) \( \left(2, \frac{1}{2}\right) \)
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