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Previous Year Question (PYQs)



For some $\theta \in \left( {0,{\pi \over 2}} \right)$, if the eccentricity of the
hyperbola, x2–y2sec2$\theta $ = 10 is$\sqrt 5 $ times the
eccentricity of the ellipse, x2sec2$\theta $ + y2 = 5, thenthe length of the latus rectum of the ellipse, is :





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