Question

Consider the circle (x-4)^2 + (y-1)^2 =9. There are two lines tangent to this circle having a slope of 0. (Hint: graph the circle to see)

a. Find the coordinates of the points of tangency.
b. Find the equations of the two tangent lines.

Answer 1

part a. (4, 4) (4, -2)

part b. y = 4 y = -2

Step-by-step explanation:

Graph the 4 and 1 from (x-4)^2 + (y-1)^2 = 9

Hint: Graph the circle on Desmos