Consider two point `A(2,5)` and `B(3,4)` in the `XY` plane . P is a point divides the line segment `AB` externally in the ratio `2:5` .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 point (22,23) divides the join of P(7,5) and Q externally in the retio 3:5, then what is co-ordinate of Q.

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) .

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.

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

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.

Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line segment joining the points A(2,1, 5) and B(3, 4, 3). Find the co¬ ordinate of point of contact.

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

If the point (0,4) divides the line-segment joining the points (-4,10) and ( 2, 1), internally in a definite ratio , find the coordinate of the point which divide the segment externally in the same ratio.