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1. The center of a circle is the point (3, 2). If the point ( 2, 10) lies on this circle, find the standard equation forthe circle. 54. Find the standard equation of the circle tangent to the x-axis and with center (3, 5).
Hint: First draw a sketch.
2. Find the standard equation of the circle tangent to the y-axis and with center (3, 5).
3. Find the standard equation of the circle passing through the origin and with center (3, 5).
4. The points A( 1, 6) and B(3, 2) are the endpoints of a diameter of a circle, as indicated in the accompanying figure. Find the y-intercepts of the circle.
Hint:Could you do the problem if you had the equation of the circle?
Enjoy!
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