Question

find the equation of the line where length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of x axis is 45​

Answer 1

Answer:

solved

Step-by-step explanation:

since the inclination of the perpendicular segment with the positive direction of x axis is 45°

tat means  the line makes 135° with  the positive direction of the x axis

slope = -1

equation

y = mx +c

y = - x + c

y+x-c = 0

length from origin = c/√2 = 4 , c = 4√2

y+x-4√2=0