4.b.1 - 2016 Q10
10) Fig. 10 shows a sketch of the points A (2, 7), B (0, 3) and C (8, −1).
i) Prove that angle ABC is 90°. (3)
ii) Find the equation of the circle which has AC as a diameter. (4)
iii) Find the equation of the tangent to this circle at A.Give your answer in the form ay = bx + c, where a,b and c are integers. (4)
ii) Find the equation of the circle which has AC as a diameter. (4)
iii) Find the equation of the tangent to this circle at A.Give your answer in the form ay = bx + c, where a,b and c are integers. (4)