$e_{1}$ and $e_{2}$ are the eccentricities of two conics S and $S^{1}$ . If ${e_{1}}^{2} + {e_{2}}^{2}$ = 3 then both S and $S^{1}$ can be

ellipse

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parabolas

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hyperbolas

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circles

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Solution

The correct option is C
hyperbolas

Given $e_{1}^{2} + e_{2}^{2} = 3$ $∴$ $e_{1} a n d e_{2} > 1)$

$∴$ Both are hyperbolas .

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e1 and e2 are the eccentricities of two conics S and S1. If e12+e22 = 3 then both S and S1 can be

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