# How do you write the equation of the locus of all points in the coordinate plane 8 units from (4, 10)?

##### 1 Answer

Jun 15, 2016

#### Explanation:

By definition, the locus of all the points who have the same distance from a fixed centre is a circle. So, that was a complex way to ask for a circle of center

If you know the center coordinates

In your case,

You can either leave it as it is, or expand the squares and sum all the coefficients:

and thus