Question

A distancia entre as retas y = ax + b e y = ax + c é:

a) |b - c|
b) (|b-c|) / a
c) (|b - c|) / raiz [a^2 + 1]
d) (|b -c|) / a^2 - 1
e) (|b -c|) / a + 1

Answer 1

y = ax + b e y = ax + c  ==> ax-y+c=0

coeficiente das duas retas = a, as retas são paralelas, pois coef lineares ≠

ponto de y =ax+b ==> x=0 ==> y =b

d=| a*0-b + c|/√(a²+(-1)²)   =|c-b|/√(a²+1) = |b-c|/√(a²+1)