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UPSC CDS 2 2023 Math Paper

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.

Question : 40 of 100

Marks: +1, -0

What is the radius of the base of the cone ?

$\frac{2r^{2}\tan\theta}{R-r}$
$\frac{2R^{2}\tan\theta}{R-r}$
$\frac{2(r^{2}+R^{2})\tan\theta}{R-r}$
$\frac{(r^{2}+R^{2})\tan\theta}{R-r}$

Validate

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