Question:

If $(\alpha,\beta)$ is the orthocentre of $\triangle ABC$ with $A(3,-7)$, $B(-1,2)$, $C(4,5)$, then $9\alpha-6\beta+60$ is equal to

Step-by-Step Solution

Key Concept: Altitudes from each vertex perpendicular to opposite side. Solve two altitude equations.

$9\alpha-6\beta+60=25$.

Correct Answer: 1