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VTMO 2020 — Grade 9 — vtmo Question 4

VTMO · VTMO 2020 — Grade 9 — vtmo

Question 4

Circle $\left(O\right)$ has radius $1 , M$ lies on it, and circle $\left(K\right)$ has diameter $MO$. A line meets the circles at four distinct ordered points $A , B , C , D$, with $A , D$ on $\left(O\right)$ and $AB = BC = CD$. Find the distance from $O$ to the line.
  1. $\frac{1}{4} \,\mathrm{cm}$
  2. $\frac{1}{3} \,\mathrm{cm}$
  3. $\frac{1}{8} \,\mathrm{cm}$
  4. $\frac{1}{6} \,\mathrm{cm}$
  5. $\frac{2}{3} \,\mathrm{cm}$