Q16 of 169 Page 703

Find the distance between the parallel lines y = mx + c and y = mx + d

Given: parallel lines y = mx + c and y = mx + d

To find : distance between the parallel lines

Formula used :

The distance between the parallel lines ax + by + c =0 and ax + by + d =0 is,

The parallel lines are mx – y + c = 0 and mx – y + d=0

Here a = m ,b = -1 ,c = c ,d = d

The distance between the parallel lines y = mx + c and y = mx + d is units

Find the distance between the parallel lines 4x – 3y + 5 = 0 and 4x – 3y + 7 = 0

Find the distance between the parallel lines 8x + 15y – 36 = 0 and 8x + 15y + 32 = 0.

Find the distance between the parallel lines p(x + y) = q = 0 and p(x + y) – r =0

Prove that the line 12x – 5y – 3 = 0 is mid-parallel to the lines 12x – 5y + 7 = 0 and 12x – 5y – 13 = 0