If the pair of tangents are drawn from the point to the circle
MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
If the pair of tangents are drawn from the point (4,5) to the circle x2+y2−4x−2y−11=0 , then,
(1) Find the length of chord of contact.
(2) Find the area of the triangle formed by a pair of tangents and their chord of contact.
(3) Find the angle between the pair of tangents.