MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
Consider the points A(1,2) and B(5,−2). A line L passes through the point C(3,4) and is parallel to the line joining A and B.
(i) Find the equation of the line AB.
(ii) Determine the equation of the line L.
(iii) Line L meets the y-axis at D. Find the coordinates of D.
(iv) Calculate the length of the segment CD.