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Let k be an integer such that the triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 3 , 1
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 4 3 , 1
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 2
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 2 1 , 2

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 2

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