CAIE P1 2021 November — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2021
SessionNovember
TopicCircles

7 A circle with centre \(( 5,2 )\) passes through the point \(( 7,5 )\).
  1. Find an equation of the circle.
    The line \(y = 5 x - 10\) intersects the circle at \(A\) and \(B\).
  2. Find the exact length of the chord \(A B\).