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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 $\;90^{0}\;$ angle at centre . Radius joining their interface makes an angle $\;\alpha\;$ with vertical . Ratio $\;\large\frac{d_{1}}{d_{2}}\;$ is :

$(a)\;\large\frac{1+ sin \alpha}{1-sin \alpha} \qquad(b)\;\large\frac{1+ cos \alpha}{1-cos \alpha} \qquad(c)\;\large\frac{1+ tan \alpha}{1-tan \alpha} \qquad(d)\;\large\frac{1+ sin \alpha}{1-cos \alpha} $

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