Test Academy | If H : x 2 16 − y 2 9 = 1 and E : x 2 a 2 + y 2 b 2 = 1 ( a > b ) . Ellipse passes through the foci of the hyperbola and e 1 . e 2 = 1 (where e 1 , e 2 are the eccentricities of hyperbola and ellipse, respectively). The length of the chord of ellipse passing through (0, 2) is equal to 5√10/3, 10√5/3, 2√5, 2√10

Question

If $H : \frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$ and $E : \frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (a > b) .$ Ellipse passes through the foci of the hyperbola and e₁. e₂ = 1 (where e₁, e₂ are the eccentricities of hyperbola and ellipse, respectively). The length of the chord of ellipse passing through (0, 2) is equal to

Options :

5√10/3
10√5/3
2√5
2√10

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