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Find the equation of a circle that is tangent to both axes, center in second quadrant and radius is 2.
Solution:
To illustrate the problem, it is better to draw the figure as follows
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| Photo by Math Principles in Everyday Life |
When you say tangent, it is perpendicular. In this case the radius of a circle is perpendicular to x-axis and y-axis. If a circle is located at the second quadrant, the center is C (-2, 2). Therefore, the equation of a circle is
