Question

find the distance between the parallel line 4x+3y +7= and 8x+6y +28=0​

Answer 1

The distance between the parallel lines 8x + 6y + 5 = 0 and 4x + 3y - 25 = 0

Given,

8x+6y+5=0

⇒4x+3y=−

2

5

4x+3y−25=0

⇒4x+3y=25

Distance between 2 parllel lines

=

a

2

+b

2

c

1

−c

2

=

4

2

+3

2

25−(

2

−5

)

=

5

25+

2

5

=

2×5

55

=

2

11