Tangent Line Let P (3, 4) be a point on the circle (see figure).
(a) What is the slope of the line joining points P and O (0, 0)?
(b) Find an equation of the tangent line to the circle at P.
(c) Let Q (x, y) be another point on the circle in the first quadrant. Find the slope m, of the line joining P and Q in terms of x.
(d) Calculate . How does this number relate to your answer in part (b)?

Question

Tangent Line Let P (3, 4) be a point on the circle  (see figure).
(a) What is the slope of the line joining points P and O (0, 0)?
(b) Find an equation of the tangent line to the circle at P.
(c) Let Q (x, y) be another point on the circle in the first quadrant. Find the slope m, of the line joining P and Q in terms of x.
(d) Calculate . How does this number relate to your answer in part (b)?

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