Question

Determinați ecuația mediatoarei segmentului AB unde A(2,4) , B(-1,1)

Answer 1

M∈d

xM=(xA+xB)/2=(2-1)/2=1/2

yM=(yA+yB)/2=(4+1)/2=5/2

M(1/2;5/2)

d⊥AB

m=(yB-yA)/(xB-xA)=(1-4)/(-1-2)=-3/-3=1

d:y-yM=-(x-xM)/m<=>d:y-5/2=(-x-1/2)/1<=>d:y+x-4/2=0=>d:y+x-2=0