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If the foci of a hyperbola are same as that of the ellipse 1 25 y 9 x 2 2 = + and the eccentricity of the hyperbola is 8 15 times the eccentricity of the ellipse, then the smaller focal distance of the point ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 5 2 3 14 , 2 on the hyperbola, is equal to

1. 3 8 5 2 7 +
2. 3 4 5 2 14 −
3. 3 8 5 2 7 −
4. 3 16 5 2 14 −

Correct answer: 3 8 5 2 7 −

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