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

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)))|

Find the distance between the parallel lines x+y=1and x+y+2=0

Find the distance between the parallel lines 3x + 4y + 7 = 0 and 3x + 4y + 5 = 0 .

Find the distance between the parallel lines 3x + 4y + 7 = 0 and 3x + 4y + 5 = 0 .

Find the distance between the parallel lines 3x+4y-7=0 and 3x+4y+8=0 .

Find the distance between the parallel lines 5x+12y-20=0 and 5x+12y+6=0 .

Find the distance between the parallel lines 3x-4y+9=0\ a n d\ 6x-8y-15=0.

Find the distance between the parallel lines 9x+6y-7=0\ a n d\ 3x+2y+6=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))

Assertion: The distance between two parallel planes ax+by+cz+d=0 and ax+by+cz+d\'=0 is (|d-d\'|)/sqrt(a^2+b^2+c^2) , Reason: The normal of two parallel planes are perpendicular to each other. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.