2012 · Q74
Let AB be a line segment such that a point P on the locus satisfies AB^2 - AP^2 - BP^2 = 0. What is the locus?
Elementary MathematicsGeometry
- Athe straight line AB itself
- Bthe perpendicular bisector of AB
- Ca straight line parallel to AB
- Da circle
Explanation
AP^2 + BP^2 = AB^2 means angle APB is a right angle, so P lies on the circle with AB as diameter.