Question

find distance between 8x+6y-11=0,4x+3y-6=0​

Answer 1

Answer:

Step-by-step explanation:

Given 4x + 3y = 11 ..(i)

8x + 6y = 15

=> 4x + 3y = 15/2 …(ii)

Slope of line (i) = -4/3

Slope of line (ii) = -4/3

Since the slopes are equal, the lines are parallel.

Distance between two parallel lines =|(c1 – c2)|/√(a2 + b2)

= |(11- 15/2)|/√(42 + 32)

= 7/10

Hence option (3) is the answer.