Q : 24 A person standing at the junction (crossing) of two straight paths represented by the equations and wants to reach the path whose equation is in the least time. Find equation of the path that he should follow.
point of intersection of lines and (junction) is
Now, person reaches to path in least time when it follow the path perpendicular to it
Slope of line is ,
let the slope of line perpendicular to it is , m
Now, equation of line passing through point and with slope is
Therefore, the required equation of line is