The Greek method for finding the equation of the tangent line to a circle uses the fact that at any point on a circle the lines containing the center and the tangent line are perpendicular (see Problem 52). Use this method to find an equation of the tangent line to the circle x²+ y²= 9 at the point (1, 2ˆš2).

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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Уд