2018 · Q88
If a point P moves such that the sum of the squares of its distances from two fixed points A and B is a constant, then the locus of the point P is
Elementary MathematicsGeometry: Lines, Angles and Triangles
- AA straight line
- BA circle
- CPerpendicular bisector of AB
- DAn arbitrary curve
Explanation
With A and B fixed, PA^2 + PB^2 = constant is the equation of a circle centred at the midpoint of AB (a circle of Apollonius). Hence the locus is a circle: option B.