Describe the locus for the locus of a point P, so that: AB^2 = AP^2 + BP^2, where A and B are two fixed points.
Describe the locus for the locus of a point P, so that: AB^2 = AP^2 + BP^2, where A and B are two fixed points.

Selina Solutions Concise Class 10 Maths Chapter 16 ex. 16(B) - 11

The locus of the point \[P\]is the circumference of a circle with \[AB\]

as diameter and satisfies the condition \[A{{B}^{2}}~=\text{ }A{{P}^{2~}}+\text{ }B{{P}^{2}}\]