Q. 405.0( 1 Vote )

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Find the distance between parallel lines

(i) 15x + 8y – 34 = 0 and 15x + 8y + 31 = 0

(ii) l(x + y) + p = 0 and lx + ly – r = 0

Answer :

(i) 15x + 8y – 34 = 0

and 15x + 8y + 31 = 0

Now A = 15, B = 8, C

_{1}= -34, C

_{2}=31

Distance between parallel lines d =

=

=

(ii) l(x – y) + p = 0

lx + ly - r = 0

Now A = l, B = l, C_{1} = p, C_{2} = -r

Distance between parallel lines d =

= = =

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