Find the equation of the tangent line at 3 4 by finding the

Question

x² + y² = 25

(a) Determine the equation of the tangent line at each of the following points:

(i) (3, 4);

(ii) (3, -4)

(b) Find the equation of the tangent line at (3, 4) by finding the equation of the line passing through (3, 4) which is perpendicular to the (radius) line segment whose end points are (0, 0) and (3, 4)