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Question

If $e_1$ and $e_2$ are the eccentricities of a hyperbola $3x^2 - 3y^2 = 25$ and its conjugate, then

$e_1^2 + e_2^2 = 2$

$e_1^2 + e_2^2 = 4$

$e_1 + e_2 = 4$

$e_1 + e_2 = \sqrt{2}$

Solution

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