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Previous Year Question (PYQs)
1
Let e1 and e2 be the eccentricities of theellipse, ${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$(b < 5) and the hyperbola, ${{{x^2}} \over {16}} - {{{y^2}} \over {{b^2}}} = 1$ respectively satisfying e1e2 = 1. If $\alpha $ and $\beta $ are the distances between the foci of the ellipse and the foci of the hyperbola respectively, then the ordered pair ($\alpha $, $\beta $) is equal to :
Solution
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