Let k be an integer such that the triang...

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

A

`(2,(1)/(2))`

B

`(2,-(1)/(2))`

C

`(1,(3)/(4))`

D

`(1,-(3)/(4))`

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The correct Answer is:

A

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