`P(a,b)`is the midpoint of a line segment between axes. Show that the equation of the line is `x/a+y/b=2`

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=5 , then the equation of the line PQ is

The projection of a line segment on the coordinate axes are 2,3,6. Then the length of the line segment is

If P is the midpoint of line segment AB with A(-4,2) and B(6,2) then coordinates of point P are.

Find the equation of the line passing through the origin and which bisects the portion of the line 3x+y=6 intercepeted between the co-ordinate axes.

Equation of the line through (alpha, beta) which is the midpoint of the line intercepted between the coordinate axes is

A line passes through the point of intersection of the line 3x+y+1=0 and 2x-y+3=0 and makes equal intercepts with axes. Then, equation of the line is

The point of intersection of the lines x/a+y/b =1 and x/b +y/a =1 lies on the line

Answer the following question.Find the equation of the line through the origin which bisects the portion of the line 3x+2y=2 intercepted between the co-ordinate axes.