Distance between the parallel lines `ax + by +c_1 = 0` and `ax + by + c_2 = 0` is

Find the distance between the parallel lines ax+by+c=0 and ax+by+d=0

Prove that distance between two parallel lines ax+by+c_(1)=0 and ax+by+c_(2)=0 is given by (|c_(1)-c_(2)|)/(sqrt(a^(2)+b^(2)))

Show that the distance between the parallel lines ax+by+c=0 and k(ax+by)+d=0 is |(c-(d)/(k))/(sqrt(a^(2)+b^(2)))|

If the distance between the parallel lines 3x+4y+7=0 and ax+y+b=0 is 1, the intergral value of b is

Consider the following statements : 1. The distance between the lines y=mx+c_(1) and y=mx+c_(2) is (|c_(1)-c_(2)|)/sqrt(1-m^(2)) . 2. The distance between the lines ax+by+c_(1) and ax+by+c_(2)=0 is (|c_(1)-c_(2)|)/sqrt(a^(2)+b^(2)) . 3. The distance between the lines x=c and x=c_(2) is |c_(1)-c_(2)| . Which of the above statements are correct ?

The area of the figure formed by the lines ax + by +c = 0, ax - by + c = 0, ax+ by-c = 0 and ax- by - c = 0 is

If aa^1= b b^1 != 0, the points where the coordinate axes cut the lines ax + by + c=0 and a^1 x + b^1 y+c^1=0 form