Chapter 11, Problem 14P

The equation of a circle with its center is at x=3 and y=2 is given by

(x-3)2-(y-2)2=R²where R is the radius of the circle. Write a program in a script file that first derives the equation (symbolically) of the tangent line to the circle at the point (x₀, y₀on the upper part of the circle [i.e., for (3-R) 0< (3 + R) and 2 0]. Then for specific values of R, x ₀, and y ₀ the program makes a plot, like the one shown on the right, of the circ le and the tangent line. Execute the program with R = 9 and X ₀, =-3.