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Let the major axis ofa standard ellipse ...

Let the major axis ofa standard ellipse equals the transverse axis of a standard hyperbola and their director circles have radius equal to 2R and R respectively. If e, and e, are the eccentricities ofthe ellipse and hyperbola then the correct relation is (a) `4e_1^2-e_2^2=6` (b) `e_1^2-4e_2^2=2` (c) `4e_2^2-e_1^2=6` (d) `2e_1^2-e_2^2=4`

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