SOLUTION: A circle in quadrant II is tangent to both axes. It touches the y axis at (0,3). a.) at what point does it meet the x axis? b.) find the coordinates of the center of the circle

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Question 1045512: A circle in quadrant II is tangent to both axes. It touches the y axis at (0,3).
a.) at what point does it meet the x axis?
b.) find the coordinates of the center of the circle
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
Some intuitive and visual thinking tell us that (-3,0) is the other axis tangent point and radius is size 3, center at (-3,3). You could try to draw or sketch the description.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
A circle in quadrant II is tangent to both axes. It touches the y axis at (0,3).
a.) at what point does it meet the x axis?
b.) find the coordinates of the center of the circle
~~~~~~~~~~~~~~~~~~~~` 

Since the circle in quadrant II is tangent to both axes, its center lies on the bisector y = -x of the second quadrant.
Therefore

a.) at what point does it meet the x axis?              - At the point (-3,0).

b.) find the coordinates of the center of the circle.   - It is the point (-3,3).

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