How do I determine the equation of the set of points P= (x, y) for which the line drawn through the point P and the point (-5, 2) is perpendicular to the line drawn through the point P and the point (8, 20)?

 

How do I determine the equation of the set of points P= (x, y) for which the line drawn through the point P and the point (-5, 2) is perpendicular to the line drawn through the point P and the point (8, 20)?

Answer:

Line two which is perpendicular to line one contains P(x,y) and R(8,20),

Thus P(x,y)P(x,y) is set of all points on circumference

 of circle whose centre is (3/2,11)(3/2,11)

 and Q(−5,2)Q(−5,2) and (8,20)(8,20) are endpoints 

of its diameter.