OCR C1 2015 June — Question 5

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2015
SessionJune
TopicStraight Lines & Coordinate Geometry

5 The points \(A\) and \(B\) have coordinates \(( 2,1 )\) and \(( 5 , - 3 )\) respectively.
  1. Find the length of \(A B\).
  2. Find an equation of the line through the mid-point of \(A B\) which is perpendicular to \(A B\), giving your answer in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers.