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.

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 equation 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.

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

The straight line represented by equation x - 3y + 8 = 0 passes through (2, 4). Is this true ?

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 equation x^(2) + 4xy + 4y ^(2) - 3x - 6 = 0 represents

Find the equation of a straight line through the intersection of 2x -3y + 4 =0 and 3x+ 4y- 5 =0 and parallel to Y -axis

The equations of two sides of a square are 3x+4y-5=0 and 3x+4y-15=0 and (6, 5) is a point on the third side. Find the equation of the third side and the remaining side.

Graphically, the pair of equations 6x - 3y+10 = 0 2x - y + 9 = 0 represents two lines which are

A circle whose centre is the point of intersection of the lines 2x-3y+4=0\ a n d\ 3x+4y-5=0 passes through the origin. Find its equation.