Question

Urgente!!!
Calcule a distância entre os pontos dados e as retas:

a) P(4,-2) e y=3
b) P(0,0) e 3x+4y+9=0
c) P(1,2) e 2x+3y-4=0
d) P(9,6) e 5x+12y-2=0
e) P(1,5) e y-x+2=0​

Answer 1

Resposta:

$dpr = \frac{ |ax + by + c| }{ \sqrt{ {a}^{2} + {b}^{2} } }$

A) P(4,-2) e y=3 ... y-3=0

$dpr = \frac{ |0 \times 4 + 1 \times ( - 2) - 3| }{ \sqrt{ {0}^{2} + {1}^{2} } } \\ dpr = 5$

b) P(0,0) e 3x+4y+9=0

dpr=9/5

c) P(1,2) e 2x+3y-4=0

$dpr = \frac{4}{ \sqrt{13} } \\ dpr = \frac{4 \sqrt{13} }{13}$