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Describe the locus of a point P, so that: AB2 = AP2 + BP2, where A and B are two fixed points.

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Question

Describe the locus of a point P, so that:

AB2 = AP2 + BP2,

where A and B are two fixed points.

Diagram
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Solution

 
The locus of the point P is the circumference of a circle with AB as diameter and satisfies the condition AB2 = AP2 + BP2

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Chapter 16: Loci (Locus and Its Constructions) - Exercise 16 (B) [Page 241]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 16 Loci (Locus and Its Constructions)
Exercise 16 (B) | Q 12. | Page 241

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