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 ax+by+c=0 and ax+by+d=0

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

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

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

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.

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 ?