If the intercept of a line between the co ordinate axes is divided by the point (-5,4) in the ratio 1:2, then find the equation of the line.

Point R (h,k) divides a line segment between the axes in the ratio 1 : 2. Find the equation of the line.

Point R (h, k) divides a line segment between the axes in the ratio 1:2. Find equation of the line.

A line perpendicular to the line segment joining the points (1,0) and (2,3) divides it in the ratio 1 : n. Find the equation of the line.

The line segment joining the points (1,2) and (-2,1) is divided by the line 3x+4y=7 in the ratio:

On the portion of the line x + 3y - 3 = 0, which is intercepted between the co-ordinate axes, a square is constructed on the side of the line away from the Origin. Find the co-ordinates of the intersection of its diagonals. Also, find the equations of its sides.

A circle of radius 4 units touches the co-ordinate axes in the first quadrant. Find the equation of its image in the line mirror y= 0.

Find the intercepts made by the plane 2x-3y+5z+4=0 on the co-ordinate axes.

Find the new co-ordinates of the point (3, -4) when the origin is shifted to (1, 2) by translation of axes.

Find the equation of the straight line, which passes through the point (1, 4) and is such that the segment of the line intercepted between the axes is divided by the point in the ratio 1: 2.