FIND THE POINT WHICH DIVIDES THE LINE SEGMENT WORKSHEET

Problem 1 :

Find the coordinates of the point which divides the line segment joining the points A(4, -3) and B(9, 7) in the ration 3 : 2.

Solution

Problem 2 :

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

Solution

Problem 3 :

Find the coordinates of the point which divides the line segment joining the points A(-5, 11) and B(4, -7) in the ration 7 : 2.

Solution

Problem 4 :

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

Solution

Problem 5 :

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

Solution

Problem 6 :

If A(1, 1) and B(-2, 3) are two points and C is a point on AB produced such that AC = 3AB, find the coordinates of C.

Solution

Answer Key

1) P(7, 3)

2)  P(1, 3)

3)  P(2, -3)

4)  P(-2/7, -20/7)

5) C(4/3, -1/2).

6) (-8, 7)

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Solution

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