Math, asked by vony1582, 11 months ago

find the equation of the bisector of the obtuse angle between the lines x+y-5=0 and x-7y+7=0

Answers

Answered by amitnrw
22

Answer:

-3x + y + 9 = 0

Step-by-step explanation:

x+y-5=0

=> -x - y + 5 = 0

x-7y+7=0

a₁a₂ + b₁b₂ = (-1)(1) + (-1)(-7)  = - 1 + 7 = 6 > 0

=> the obtuse angle bisector

=> (a₁x + b₁y + c₁)/√(a₁² + b₁²)   = (a₂x + b₂y + c₂)/√(a₂² + b₂²)

=> (-x - y + 5)/√2   =  (x - 7y + 7)/√50

=> 5(-x - y + 5) = (x - 7y + 7)

=> -6x + 2y + 18 = 0

=> -3x + y + 9 = 0

Answered by FaberCastel
4

Answer:

-3x+y+9=0

Step-by-step explanation:

The step-by-step explanation is provided in the photo attached.

Attachments:
Similar questions