tangents are drawn from the point (-4,0) to the circle x^2 +y^2 =1. find the slopes of the tangent.

Answer 1

If the tangent hits the circle at (h,k)
it has length
L^2 + 1 = 16
L = sqrt(15)

h^2 + k^2 = 1
(4+h)^2 + k^2 = 15

Solve for h,k, and the slope is
k/(4+h)