Q20 of 30 Page 10

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

Given parallel lines are l (x + y) + p = 0 and l (x + y) – r = 0.


⇒ lx + ly + p = 0 and lx + ly – r = 0


Distance (d) between parallel lines Ax + By + C1 = 0 and Ax + By + C2 = 0 is given by

Equating the lines given by the general form we get,

Here A = l, B = l, C1 = p, C2 = -r


Distance between parallel lines is



∴

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