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CAT 2005 | Question: 17

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Four points $\text{A, B, C}$ and $\text{D}$ lie on the straight line in $\text{X-Y}$ plane, such that $\text{AB = BC = CD}$ and the length of $\text{AB}$ is $1$ meter. An ant at $\text{A}$ wants to reach a sugar particle at $\text{D}.$ But there are insect repellents kept at points $\text{B}$ and $\text{C}.$ The ant would not go within any insect repellent. The minimum distance in meters the ant must traverse to reach the sugar particle is

  1. $3\sqrt{2}$
  2. $1 + \pi$
  3. $\frac{4 \pi}{3}$
  4. $5$
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