Opposite tangents from a diameter
8 written marks
A circle has diameter endpoints \(A(-5,-2)\) and \(B(7,14)\).
Part a · 3 marks
Find the equation of the circle.
Part b · 3 marks
Find the tangents at A and B and show that they are parallel.
Part c · 2 marks
Find the perpendicular distance between these tangent lines, explaining the geometry.
Complete-answer checking, worked solutions and indicative written criteria.
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