Let $S_1$ be the sum of areas of the squares whose sides are parallel to coordinate axes. Let $S_2$ be the sum of areas of the slanted squares as shown in the figure. Then, $\frac{S_1}{S_2}$ is equal to

212179-q

  • [KVPY 2016]
  • A

    $2$

  • B

    $\sqrt{2}$

  • C

    $1$

  • D

    $\frac{1}{\sqrt{2}}$

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  • [KVPY 2009]

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