A circle is described by the equation 9x2+9y2−18x+12y−15=0. Answer the following questions.
(i) Reduce the equation to standard form and hence find the centre and the radius of the circle.
(ii) Determine the exact coordinates of the points where the circle cuts the coordinate axes.
(iii) On square graph paper, choose a suitable scale and sketch the circle, clearly marking the centre, radius, all intercepts found in part (ii), and any two additional points on the circle to confirm accuracy.