Question
If the line, 2x - y + 3 = 0 is at a distance
${1 \over {\sqrt 5 }}$ and ${2 \over {\sqrt 5 }}$ from the lines 4x - 2y + $\alpha $ = 0
and 6x - 3y + $\beta $ = 0, respectively, then the sum of all possible values of $\alpha $ and $\beta $ is :
${1 \over {\sqrt 5 }}$ and ${2 \over {\sqrt 5 }}$ from the lines 4x - 2y + $\alpha $ = 0
and 6x - 3y + $\beta $ = 0, respectively, then the sum of all possible values of $\alpha $ and $\beta $ is :
Correct Answer
30