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Let a > 0, b > 0. Let e and A respectively be the eccentricity and length of the latus rectum of the hyperbola 1 b y a x 2 2 2 2 = − . Let e ′ and A ′ respectively be the eccentricity and length of the latus rectum of its conjugate hyperbola. If A 14 11 e 2 = and ' 8 11 ) ' e ( 2 A = , then the value of 77a+ 44b is equal to :

1. 100
2. 110
3. 120
4. 130

Correct answer: 130

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