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To find: The standard form of the equation of the circle
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Answer to Problem 42AYU
The standard form of the equation of the circle is
Explanation of Solution
Given:
Center
Calculation:
A tangent to a circle is a line that touches the circle at a particular point
The center of the given circle
The line
Since the circle is a tangent to the line, it touches the line at the point
Therefore, the coordinates
If
Substitute
Therefore, the radius of the circle is
The standard form of the circle is given by
Conclusion:
Hence, the standard form of the equation of the circle is
Chapter 1 Solutions
Precalculus
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