For some (0, 2 ), let the eccentricity and the length of the latus rectum of the hyperbola x^2 - y^2 ^2 = 8...

Question

For some (0, 2 ), let the eccentricity and the length of the latus rectum of the hyperbola x^2 - y^2 ^2 = 8 be e_1 and _1, respectively, and let the eccentricity and the length of the latus rectum of the ellipse x^2 ^2 + y^2 = 6 be e_2 and _2, respectively. If e_1^2 = e_2^2( ^2 +1), then ( _1 _2 e_1e_2 ) ^2 is equal to _____.

Accepted Answer

8

JEE Main 2026 Mathematics question

Solution

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