Question

sa se determine m apartine multimii R , astfel incat distanta dintre punctele A(2,m) si B(m,-2) sa fie 4 .

Answer 1

AB=√[(xb-xA)+(yB-yA)]

AB²=(xb-xA)+(yB-yA)=16

(m-2)+(-2-m)=16

m²-4m+4+4+4m+m²=16

2m²=16-8

m²=4

m1=2

m2=-2

=> A(2,2) si B(2,-2) sau A(2,-2) si B(-2,-2)