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ISI2018-DCG-25

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There are three circles of equal diameter ($10$ units each) as shown in the figure below. The straight line $PQ$ passes through the centres of all the three circles. The straight line $PR$ is a tangent to the third circle at $C$ and cuts the second circle at the points $A$ and $B$ as shown in the figure.Then the length of the line segment $AB$ is

  1. $6$ units
  2. $7$ units
  3. $8$ units
  4. $9$ units
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