Q. 244.1( 54 Votes )

A person st

Answer :

The equations of the given lines are


2x-3y+4 = 0 --------------- (1)


3x+4y- 5 = 0 ---------------- (2)


6x – 7y + 8 = 0


The person is standing at the junction of the paths represented by lines (1) and (2).


So, on solving equations (1) and (2), we get,


x = and y =


Then, the person is standing at point


The person can reach path (3) in the least time if he walks along the perpendicular line to (3) from point


Thus, slope of the line (3) =


Thus, Slope of the line perpendicular to line (3) =


The equation of the line passing through and having a slope of is given by



6(17y-22) = -7(17x+1)


102y – 132 = 119x -7


119x + 102y = 125


Therefore, the path that the person should follow is 119x + 102y = 125.


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