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Given 2 points A and B, what is the locus of points P so that angle APB is a right angle?

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Given 2 points A and B, what is the locus of points P so that angle APB is a right angle?

(a) A square with points A and B

(b) The circle with diameter AB

(c) A rectangle with side A and B

(d) A semi-circle with diameter AB

The question was asked during an interview.

My enquiry is from Loci of Points topic in portion Lettering Practice, Scales & Curves of Civil Engineering Drawing

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The correct answer is (b) The circle with diameter AB

Best explanation: The circle with diameter AB, excluding points A and B will be the locus of point AB. This point P will always make 90° angle with the circumference when the lines from two points of radius meet at P, also from circle postulate it is proved.

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