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CAT 2003 | Question: 1-141

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In the figure given below, $\text{AB}$ is the chord of a circle with centre $\text{O. AB}$ is extended to $\text{C}$ such that $\text{BC = OB}.$ The straight line $\text{CO}$ is produced to meet the circle at $\text{D}.$ If $\measuredangle \text{ACD} = y^{\circ} \text{ and } \measuredangle \text{AOD} = x^{\circ}$ such that $x=ky,$ then the value of $k$ is

  1. $3$
  2. $2$
  3. $1$
  4. None of these
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