MCQ

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

• ✓
  $\left( {2,\frac{1}{2}\;} \right)\;$
• B
  $\left( {2,\frac{{ - 1}}{2}\;} \right)$
• C
  $\left( {1,\frac{3}{4}\;} \right)$
• D
  $\left( {1,\frac{{ - 3}}{4}\;} \right)$