The categories of the points are
- Greater than 15 units from the origin: B(-5,15) and E(-8.-14)
- Exactly 15 units from the origin: C(12,-9)
- Less than 15 units from the origin: A(11,-6) and D(10.4)
<h3>How to categorize the points?</h3>
The distance of a point from the origin is calculated using:

Using the above formula, and the given coordinates of points A to E, we have:





From the above computations, we have:
- Greater than 15 units from the origin: B(-5,15) and E(-8.-14)
- Exactly 15 units from the origin: C(12,-9)
- Less than 15 units from the origin: A(11,-6) and D(10.4)
Read more about distance at:
brainly.com/question/7243416
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