A straight line passes through the point `(3, -2)` and this point bisects theportion of the line intercepted between the axes, find the equation of the line

A straight line passes through the point (alpha,beta) and this point bisects the portion of the line intercepted between the axes.Show that the equation of the straight line is (x)/(2 alpha)+(y)/(2 beta)=1

A straight line passes through the point (3, -2) . Find the locus of the middle point of theportion of the line intercepted between the axes.

A line passes through the point (3,-2). Find the locus of the middle point of the portion the line intercepted between the axes.

A straight line passes through the point (3,5) and is suchthat the portion of it intercepted between the axes is bisectedat the point.Find the equation of the straight line and also itsdistance from the origin.

A straight line passes through the point (-5,2) and the portion of the line intercepted between the axes is divided at this point in the ratio 2:3. Find the equation of the line.

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

A straight line passes through the point (1,2) and is such that the portion of it intercepted between the axes is divided internally at the potint in the ratio 3:2. Find the equation of the line.

(i) 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.

The equation of the line through the origin which bisects the portion of the line 3x-y=12 intercepted between the axes is

A straight line passes through the point (2,3) and is suchthat the sum of its intercepts on the co-ordinate axes is 10. Find the equation of the straight line.