Let k be an integer such that the triangle with vertices (k, –3k), (5, k) and (–k, 2)

• Matrices Determinants
• Coordinate Geometry

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. 2, -1/2
2. 1, 3/4
3. 1, -3/4
4. 2, 1/2

Solution

k = 2

Orthocentre is 2, 1/2

The correct option is D.