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Multiple choice

$AB$ is a diameter and $AC$ is a chord of a circle such that $\angle BAC=30^{\circ}$. The tangent at $C$ intersects $AB$ produced at $D$. The value of $\dfrac{BC}{BD}$ equals:

  1. $1$
  2. $2$
  3. $0.5$
  4. None

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