Coordinate Geometry Part II

Example 1

A typical coordinate geometry question from the O Levels

Given that AC = 3AB, find the coordinates of point B.

A lot of students will try to use the distance formula to form simultaneous equations in x and y to find the coordinates of B. This is a very long and tedious method. A much simpler method is to use ratio and proportion to find the coordinates of B

To find the x coordinate of B

We can use the same method to find the y coordinate of point B

Therefore the coordinates of point B is (4,4)


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