Question:
<p>If algebraic sum of distances of a variable line from points A(3, 0), B(0, 3) and C(- 3, - 3) is zero, then the line passes through the fixed point :</p>
<p style="display:inline">(-1, -1)</p>
<p style="display:inline">(1, 1)</p>
<p style="display:inline">(0, 0)</p>
<p style="display:inline">(3, 3)</p>
Step-by-Step Solution
Key Concept: If the algebraic sum of distances from multiple points to a variable line is zero, the line must pass through the centroid of those points.
<p>(0, 0)</p>
Correct Answer: C