CAIE P1 2007 November — Question 6

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2007
SessionNovember
TopicStraight Lines & Coordinate Geometry

6
\includegraphics[max width=\textwidth, alt={}, center]{e753f588-97bc-4c6a-a82b-7b6a6d0cadc4-2_627_748_1685_699} The three points \(A ( 3,8 ) , B ( 6,2 )\) and \(C ( 10,2 )\) are shown in the diagram. The point \(D\) is such that the line \(D A\) is perpendicular to \(A B\) and \(D C\) is parallel to \(A B\). Calculate the coordinates of \(D\).