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 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 .

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3 : 1 internally

Find the coordinates of the point which divides the line segment joining (2,-3,8) and (1,-1,0) internally in the ratio 2 : 1

Find the coordinates of the point which divides the line segment joining (2,-3,8)and (1,-1,0)internally in the ratio 2:1

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 .

Determine the equation of the straight line through the point (2,3) which divides the portion of the line segment between the axes in the ratio 2 : 1 .

Determine the equation of the straight line through the point (2,3)which divides the portion of the line segment between the axes In the ratio 2:1

Find the ratio in which the point (-5,-20) divides the line -segment joining the points (4,7) and (1,-2) .

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