note: This problem is suitable for both SL and HL students[modified on 2 December 2018]Any technology is allowed(a) Find the exact length of the diameter of the circle that passes through \(\left( {1,0} \right)\), \(\left( {0,18} \right)\) and the origin.(b) The circle in (a) is moved, without changing its diameter, so that it passes through \(\left( {10,0} \right)\) and the origin. The circle intersects the y-axis at the point \(\left( {0,{b_1}} \right)\) such that \({b_1} > 0\). Find the...