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Zetta Paper 1 · Q2

Paper 1Geometry

Given that the points (−2,0)(-2,0), (−12,32)\left(-\frac12,\frac{\sqrt3}{2}\right) and (−12,−32)\left(-\frac12,-\frac{\sqrt3}{2}\right) all lie on the circle CC with radius rr and centre (a,0)(a,0). Find r−ar-a.

A11
B1−21-\sqrt2
C22
D3+33+\sqrt3
E33

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