Multiple choice

Let $AB$ is a chord of a circle and $C$ divides $AB$ internally in ratio $3:1$. A line through $C$ cuts the circle at $D$ & $E$ such that minimum distance of $D$ & $E$ from line $AB$ is $3$ & $2$ respectively. If $r$ in minimum length of $AB$ such that $\alpha $ is angle between $AB$ & $DE$ for this $r$, then value of $'r\alpha '$

  1. $\sqrt 2 \pi $
  2. $2\sqrt 2 \pi $
  3. $\dfrac{\pi }{{\sqrt 2 }}$
  4. $\dfrac{\pi }{{2\sqrt 2 }}$
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B Correct answer

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