Question: Refer to Problem 52.The line x 2y + 4 = 0 is tangent to a circle at (0, 2).The line y = 2x 7 is

Refer to Problem 52.The line x €“ 2y + 4 = 0 is tangent to a circle at (0, 2).The line y = 2x €“ 7 is tangent to the same circle at (3, -1). Find the center of the circle.

Data from problem 52

The tangent line to a circle may be defined as the line that intersects the circle in a single point, called the point of tangency. See the figure.

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