Consider two point `A(1,-1)` and `B(3,2)` in the `XY` plane . P is a point divides the line segment `AB` externally in the ratio `1:2` .Find the co ordinate of P.

A(2,5) and B(-3,-4) are two fixed points , the point P divides the line -segment overline(AB) internally in the ratio k:1 . Find the coordinates of P . Hence find the equation of the line joining A and B.

The position vectors of the points A and B are 2 veca + vecb and veca - 3vecb . If the point C divides the line segment bar (AB) externally in the ratio 1:2 , then find the position vector of the point C. Show also that A is the midpoint of the line segment bar (CB) .

Point R (h, k) divides a line segment between the axes in the ratio 1:2 Find equation of the line.

The position vectors of the points A and B are 2vec(a)+vec(b) " and " vec(a)-3vec(b) . If the point C divides the line-segment bar(AB) externally in the ratio 1:2, then find the position vector of the point C. Show also that A is the midpoint of the line-segment bar(CB) .

A point divides the line segment joining the point (2, -5. 8) and(3, 4. -6) internally in the ratio 3 : 5. Find the .co-ordinate of that point.

Let O be the vertex and Q be any point on the parabola x^2=8y . IF the point P divides the line segment OQ internally in the ratio 1:3 , then the locus of P is

Let O be the vertex and Q be any point on the parabola x^(2) = 8 y . If the point P divides the line segments OQ internally in the ratio 1 : 3 , then the locus of P is _

If point P(3,2) divides the line segment AB internally in the ratio of 3:2 and point Q(-2,3) divides AB externally in the ratio 4:3 then find the coordinates of points A and B.

P divides the line segment joinign the points A(1,2,5) and B(6,7,-5) in the ratio 2:3 . If Q be the mid point of the segment AB then the coordinates of P and Q will be

Find the ratio in which the point (-11,16) divides the line segment joining the points (-1,2) and (4,-5) .