A straight line segment AB of length 'a' moves with its ends on the axes. Then the locus of the point P which divides the line in the ratio 1:2 is

The ends of a rod of length l move on two mutually perpendicular lines. Find the locus of the point on the rod which divides it in the ratio 1:2 .

The end’ points of a rod having length l are moving a long with two straight line which are perpendicular toeach othcr. Find the equation -of the locus of the point which divides the rod are in ratio 2:1.

A variable straight,line of slope of 4 intersects the hyperbola xy = 1 at two points. Find the locus of the point which divides the line segment between these two points in the ratio 1 : 2.

A line of fixed length a+b moves so that its ends are always on two fixed perpendicular straight lines. Then the locus of the point which divides this line into portions of length aa n db is (a) an ellipse (b) parabola (c) straight line (d) none of these

A variable striaght line of slope 4 intresects the hyprbola xy=1 at two points. Find the locus of the point which divides the line segment between theses two points in the ration 1:2 .

Let AB be a line segment of length 4 unit with the point A on the line y=2x and B on the line y=x. Then locus of middle point of all such line segment is

The sum of the intercepts cut off from the axes of coordinates by a variable straight line is 10 units . Find the locus of the point which divides internally the part of the straight line intercepted between the axes of coordinates in the ratio 2:3 .

The sum of the intercepts cut off from the coordinate axes by a variable line is 14 units . Find the locus of the point which divides internally the portion of the line intercepted between the coordinate axes in the ratio 3:4 .

A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation.