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Each question is followed by two statements, I and II. Answer each question using the following instructions.

Mark the answer as

  • Choose $1$ if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
  • Choose $2$ if the question can be answered by using either statement alone.
  • Choose $3$ if the question can be answered by using both statements together, but cannot be answered using either statement alone.
  • Choose $4$ if the question cannot be answered even by using both statements together.

$\text{O}$ is the centre of two concentric circles. $ae$ is a chord of the outer circle and it intersects the inner circle at point; $b$ and $d. c$ is a point on the chord in between $b$ and $d.$ What is the value of $ac/ce?$

  1. $bc/cd = 1$
  2. A third circle intersects the inner circle at $b$ and $d$ and the point $c$ is on the line joining the centres of the third circle and the inner circle. 
    1. $1$
    2. $2$
    3. $3$
    4. $4$
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