Find the point(s) on the circle (x+2)2+(y-5)2 = 74 that are contained in the tangent line(s) with slope 5.

Answer 1

Hi Yae D.,

Might as well be efficient. If the tangent lines have slope 5, then the radii to the points of tangency have slope -1/5. That, coupled with the circle center, by inspection at (-2,5) should allow you to find the equation for the radii (as a line) and solve for the intersection with the circle.

-- Cheers, -- Mr. d.

Answer 2

Please see video