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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 ABThe question was asked during an interview.My enquiry is from Loci of Points topic in portion Lettering Practice, Scales & Curves of Civil Engineering Drawing

Answer»

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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