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Geometry

Quick practice

Question 1 of 5

\mathrm{C}_{1} is a fixed circle and  \mathrm{C}_{2} is the director circle of  \mathrm{C}_{1} . A third circle \mathrm{C}_{3} passes through the centre of  \mathrm{C}_{1} and intersects  \mathrm{C}_{2} at  \mathrm{P} and  \mathrm{Q} and  \mathrm{C}_{1} at A and B such that the line PQ is a tangent to \mathrm{C}_{1}. Find \frac{\mathrm{AB}}{\mathrm{PQ}}.

A

\frac{\sqrt{3}}{4}

B

\frac{4}{\sqrt{3}}

C

\frac{2}{\sqrt{3}}

D

\frac{\sqrt{3}}{2}

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