Question

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. $(2.-\frac{1}{2})$
• B. $(1,\frac{3}{4})$
• C. $(1,-\frac{3}{4})$
• D. $(2,\frac{1}{2})$

Answer 1

The correct option is D $(2,\frac{1}{2})$