There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $d_1$ and $d_2$ are filled in the tube. Each liquid subtends $90^o$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio $\frac{{{d_1}}}{{{d_2}}}$ is
  • A$\frac{{1 + cos\alpha }}{{1 - cos\alpha }}$
  • B$\;\frac{{1 + tan\alpha }}{{1 - tan\alpha }}$
  • C$\;\frac{{1 + sin\alpha }}{{1 - cos\alpha }}$
  • D$\;\frac{{1 + sin\alpha }}{{1 - sin\alpha }}$
JEE MAIN 2014, Diffcult
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