The ratio in which the line 3x + 4y + 2 = 0 divides the distance between the lines 3x + 4y + 5 = 0 and 3x + 4y – 5 = 0 is
A. 1 : 2
B. 3 : 7
C. 2 : 3
D. 2 : 5
Given lines are 3x+4y+5=0…....(i)
3x+4y-5=0…....(ii)
and 3x+4y+2=0….......(iii)
Since the coefficient of x and y are same equation i, ii and iii are parallel to each other
We know that in case of i and iii
distance between two parallel lines is
Similarly in case of ii and iii distance between two parallel lines is
Ratio between the distance is
Hence, the correct option is b