Question: Consider the circle as shown in the figure. (a) Find the center and radius of the circle. (b) Find an equation of the tangent line

Consider the circle

x2 + y - 6x - 8y = 0, y2

as shown in the figure.

(a) Find the center and radius of the circle.

(b) Find an equation of the tangent line to the circle at the point (0, 0).

(c) Find an equation of the tangent line to the circle at the point (6, 0).

(d) Where do the two tangent lines intersect?

x2 + y - 6x - 8y = 0, y2

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