Hyperbola

Section: Mathematics
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Question : 2 of 92
 
Marks: +1, -0
For some θ∈(0,‌
Ï€
2
)
, let the eccentricity and the length of the latus rectum of the hyperbola x2−y2 sec2θ=8 be e1 and l1, respectively, and let the eccentricity and the length of the latus rectum of the ellipse x2 sec2θ+y2=6 be e2 and l2, respectively. If e12=e22( sec2θ+1), then (‌
l1l2
e1e2
)
tan2
θ
is equal to
[28 Jan 2026 Shift 1]
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