00:04
Okay, this question asks us to find the equation of the circle that's described.
00:09
The circle has a center point at pq and is tangent to the x -axis.
00:15
The question here is we don't know the value of p and q, but we do know that p would be the x -coordinate.
00:22
So what we know is we've come some distance this direction, call it p, and we've come some distance upward, call it q, and that's our center point.
00:33
And whatever we're going to do with the circle, what we know is that when we draw it, it becomes tangent to the x -axis.
00:41
So it's going to barely just scrape the x -axis right here.
00:45
That's important because that means this point, which we would call p -0, is one of the points on the actual circle itself.
00:54
So all we need to do at this point is rely on what we know about a circle, that its general form follows this path.
01:03
We don't know the radius here, but we do know that we can use the center point as pq...