Equation of line in Straight lines

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Question

$T h e e q u a t i o n o f t h e l i n e w h i c h i s e q u i d i s \tan t f r o m t h e p a r a l l e l l i n e s 9 x + 6 y - 7 = 0 a n d 3 x + 2 y + 6 = 0$

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Solution

$T h e g i v e n l i n e s a r e 9 x + 6 y - 7 = 0 a n d 9 x + 6 y + 18 = 0 T h e m i d w a y b e t w e e n t h e a b o v e t w o l i n e s i s 9 x + 6 y + (\frac{18 - 7}{2}) = 0 9 x + 6 y + \frac{11}{2} = 0 18 x + 12 y + 11 = 0$

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