4.b.3 - 2014 Q10
10) Fig. 10 shows a sketch of a circle with centre C (4, 2). The circle intersects the x-axis at A (1, 0) and at B.
i) Write down the coordinates of B. (1)
ii) Find the radius of the circle and hence write down the equation of the circle. (4)
iii) AD is a diameter of the circle. Find the coordinates of D. (2)
iv) Find the equation of the tangent to the circle at D. Give your answer in the form y = ax+b. (4)
ii) Find the radius of the circle and hence write down the equation of the circle. (4)
iii) AD is a diameter of the circle. Find the coordinates of D. (2)
iv) Find the equation of the tangent to the circle at D. Give your answer in the form y = ax+b. (4)