# P.o.t.M. #1-Nov 2018

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...

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