Straight Lines and Pair of Straight Lines

The equation of a straight line passing through $(1,2)$ and having intercept of length 3 between the straight lines $3 x+4 y=24$ and $3 x+4 y=12$ is

The equation of the line, where length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of $X$-axis is $30^{\circ}$.

A ray of light is sent along the line \(x-2 y+5=0\). Upon reaching the line \(3 x-2 y+7=0\), the ray is reflected from it. The equation of the line containing the reflected ray, is

The equation of a straight line which cuts off intercept on \(X\)-axis which is twice that on \(Y\)-axis and is at a unit distance from origin is given by

The equation of a straight line upon which the length of the perpendicular from the origin is 5 and slope of this perpendicular is 3/4 is