The line 3x + 4y = 24 cuts the x axis at point A and the y axis at point B. The point C is the mid-point of AB.
(i) Find the co-ordinates of A, B and C. Also, find the length of AB.
(ii) Find the equation of the circle with centre C which passes through A and B. Show that this circle also passes through the origin.
(iii) The tangent to the circle at B meets the straight line through 0 and C at the point D. Find the co-ordinates of D.
Can you also tell me how to work this out please?
Thank you, very much appreciated.