Asked by Andrea

Consider the line segment joining A(-1,2) and B(3,4)
a) find an equation that expresses the fact that a point P(x,y) is equidistant from A and from B.

b) describe geometrically the set of points described by the equation in part (a).

Answers

Answered by Reiny
a) arriving at the equation only using your definition for P .....
AP = BP
√( (x+1)^2 + (y-2)^2 ) = √( (x-3)^2 + (y-4)^2 )
square both sides and expand
x^2 + 2x + 1 + y^2 -4y + 4 = x^2 - 6x + 9 + y^2 - 8y + 16
8x - 12y = 20 or
2x - 3y = 5

b) of course the equation we found in a) is the right - bisector of AB
Answered by Jason
THAAAAAAANK YOOOOOOU.
Answered by Andrea
yeah, thank you!

Related Questions