Find the coordinates of the midpoint of the line segment intersected by the axes of the straight line 4x + 3y + 12 = 0.

Find the coordinates of the middle point of the portion of the straight line 2x+y=4 intercepted between the x and the y - axes.

The coordinates of the two points lying on x + y = 4 and at a unit distance from the straight line 4x + 3y =10 are

Find the coordinates of points on the straight line x+y=4 which are at unit distance from the line 4x+3y=10.

Find the area of the trangle formed by the axes of coordinates and the straight line 2x+3y=6

Find the co ordinate on the Y axis cut by the straight line 2x-3y=12

Find the co ordinate on the Y axis cut by the straight line 2x+3y=12

Find the equation of the straight line which passes through the intersection of the straght lines 2x + 3y = 5 and 3x + 5y = 7 and makes equal positive intercepts upon the coordinate axes .

Two straight lines , drawn through the origin , trisect the portion of the line 4x+3y=12 intercepted between the axes. Find the equations of the straight lines.

Show that the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x+y+2 = 0 and which also passes through the origin.

Find the equation of the line passing through the point (2,3) and bot to the straight line 4x-3y=10.