E-CI04 · Three points, a tangent and a diameter
A circle passes through \(A(0,0), B(8,0), C(2,6)\).
Find its equation in expanded form, then state its centre.
Find the tangent at C.
D is the other endpoint of the diameter through C. Find D and verify that \(\angle CAD=90^\circ\).
Complete-answer checking, worked solutions and indicative written criteria.
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