SOLUTION: A circle passes through the Point (8,7) and touches the y-axis at the Point (0,3). Find the equation of the circle. if the circle cuts the x-axis at D and E, find the equation of a

Question 990255: A circle passes through the Point (8,7) and touches the y-axis at the Point (0,3). Find the equation of the circle. if the circle cuts the x-axis at D and E, find the equation of another circle which is DE as diameter.

Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Unknown center of the first circle, (h,k).
Using Distance Formula

This circle touching, just touching, the y-axis at (0,3) means that the center is some point on the line y=3. This means, you can solve for h, because you know . This is based on knowing how the standard circle equation works.

Center of this first circle is therefore, (8,-3). The point (0,3) on the circle may be the convenient point to again use the Distance Formula, to find the radius of this circle.

This first circle equation is then, .
I have not finished to do the final question, but maybe you can.
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