Q. 17

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

Answer :

Given: parallel lines p(x + y) = q = 0 and p(x + y) – r =0

To find : distance between the parallel lines p(x + y) - q = 0 and p(x + y) – r =0

Formula used :

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

D

The parallel lines are p(x + y) - q = 0 and p(x + y) – r =0

The parallel lines are px + py - q = 0 and px + py – r = 0

Here a = p ,b = p ,c = -q ,d = -r

D

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

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