UPSC CDS 2 2023 Math Paper

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Question Numbers: 39-40
Consider the following for the next items that follow:
A right conical cap just covers two spheres placed one above the other on a table such that it touches both the spheres. Let r be the radius of the smaller sphere and R be the radius of the bigger sphere. Let 2θ be the vertical angle of the cone.
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Question : 39
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