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For some theta in(0,(pi)/(2)) ,if the e...

For some `theta in(0,(pi)/(2))` ,if the eccentric of the hyperbola `x^(2)-y^(2)sec^(2)theta=10` is `sqrt(5)` times the eccentricity of the ellipse,`x^(2)sec^(2)theta+y^(2)=5` ,then the length of the latus rectum of the ellipse

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