Official solution
The lines 4x + 3y - 10 = 0 and
8x + 6y + 5 = 0 , are parallel as
\[{4 \over 8}\] = \[{3 \over 6}\]
Now length of perpendicular from
(0, 0, 0) to 4x + 3y - 10 = 0 is,
P1 = \[\left| {{{4\left( 0 \right) + 3\left( 0 \right) - 10} \over {\sqrt {{4^2} + {3^2}} }}} \right|\] = \[{{10} \over 5}\] = 2
Length of perpendicular from
0 (0, 0) to 8x + 6y + 5 = 0 is
P2 = \[\left| {{{8\left( 0 \right) + 6\left( 0 \right) + 5} \over {\sqrt {{6^2} + {8^2}} }}} \right|\] = \[{5 \over {10}}\] = \[{1 \over 2}\]
\[\therefore\,\,\,\] P1 : P2 = 2 : \[{1 \over 2}\] = 4 : 1