AQA Paper 1 2023 June — Question 9 4 marks

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2023
SessionJune
Marks4
TopicCircles

9 The points \(P\) and \(Q\) have coordinates ( \(- 6,15\) ) and (12, 19) respectively. 9
    1. Find the coordinates of the midpoint of \(P Q\) 9
  1. (ii) Find the equation of the perpendicular bisector of \(P Q\)
    Give your answer in the form \(a x + b y = c\) where \(a , b\) and \(c\) are integers.
    [0pt] [4 marks]
    9
    1. A circle passes through the points \(P\) and \(Q\) The centre of the circle lies on the line with equation \(2 x - 5 y = - 30\)
      Find the equation of the circle. 9
  2. (ii) The circle intersects the coordinate axes at \(n\) points.
    State the value of \(n\) $$y = \sin x ^ { \circ }$$ for \(- 360 \leq x \leq 360\) is shown below.
    \includegraphics[max width=\textwidth, alt={}, center]{6a03a035-ff32-4734-864b-a076aa9cbec0-12_613_1552_532_246}