A person standing at the junction (crossing) of two straight paths represented by the equations `2x - 3y + 4 = 0` and `3x + 4y -5=0` wants to reach the path whose equation is `6x - 7y + 8 = 0` in the least time. Find equation of the path that he should follow.

Two straight paths are represented by the equations x - 3y = 2 and -2x + 6y = 5 . Check whether the paths cross each other or not.

An elephant standing at the junction of two straight roads represented by the equations x − y+2 = 0 and y − 1 = 0 wants to reach another road whose equation is x − y − 3 = 0 . If the elephant can move in any direction and wants to cover the shortest distance to its destination road, then the equation of the path that the elephant should follow is:

Two straight line paths are represented by the equation 2x-y=2 and -4x+2y=6 . Then the paths will

The system of equations 3x + y -4=0 and 6x + 2y-8=0 has

Find the solution of the equations 8x + 5y - 9 = 0 and 3x + 2y - 4 = 0 .

Find the equations of the line through the intersection of 2x - 3y + 4 = 0 and 3x + 4y - 5= 0 and perpendicular to 6x-7y +c = 0

The equations 2x-3y+6z=4, 5x+7y-14z=1 3x+2y-4z=0, have