Spherical image of 1 sheeted hyperboloid

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The 1-sheeted hyperboloid $-(x_1 ^2 /a^2)+x_2 ^2 +......X_{n+1}^2 =1 $ , $ (a>0)$. What happen to the spherical image when $ a\rightarrow \infty $ ? when $a\rightarrow 0 $ ?