A variable line through the point `(6/5, 6/5)` cuts the coordinates axes in the point `A and B`. If the point `P` divides `AB` internally in the ratio `2:1`, show that the equation to the locus of `P` is : `5xy = 2( 2x+y)`.

A variable line through the point ((6)/(5),(6)/(5)) cuts the coordinate axes at the points A and B respectively. If the point P divides AB internally in the ratio 2:1 , then the equation of the locus of P is

A variable line through the point ((1)/5,1/5)cuts the coordinate axes in the points A and B. If the point P divides AB internally in the ratio 3:1, then the locus of P is (A) 3x+y = 20xy (B) y + 3x = 20 xy (C) x + y = 20 xy (D) 3x+3y = 20xy

Write the coordinates of the point dividing line segment toining points (2,3) and (3,4) internally in the ratio 1:5 .

Calculate the co-ordinates of the point P that divides the line joining point A(-1,3) and B(5,-6) internally in the ratio 1:2

A straight line through the point A(1,1) meets the parallel lines 4x+2y=9&2x+y+6=0 at points P and Q respectively.Then the point A divides the segment PQ in the ratio:

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.

If the point P(2,3) divides the line joining the points (5,6) and (8,9) then the ratio is

Find the equation of the line which passes through the point (5-1), and divides the join of the points (9,2) and (3,4) internally in the ratio 1:2 .