WORKSHEET ON SECTION FORMULA

Problem 1 :

The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 are:

A) (2, 4)     B) (3, 5)      C) (4, 2)        D) (5, 3).

Solution

Problem 2 :

The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant 

A) I     B) II       C) III      D) IV

Solution

Problem 3 :

If C is a point lying on the line segment AB joining A(1, 1) and B(2, -3) such that 3 AC = CB, then find the coordinates of C.

Solution

Problem 4 :

Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that PA/PQ = 2/5. If point P also lies on the line 3x + k(y + 1) = 0, find the value of k.

Solution

Problem 5 :

If the coordinates of points A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P such that AP = 3/7AB, where P lies on the segment AB.

Solution

Problem 6 :

A point P divides the line segment joining the points A(3, -5) and B(-4, 8) such that AP/PB = K/1. If P lies on the line x + y = 0, then find the value of K.

Solution