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If the line x – 2y = 12 is tangent to the ellipse 2 2 a x + 2 2 b y = 1 at the point ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 9 – , 3 , then the length of the latus rectum of the ellipse is :

1. 8 3
2. 2 12
3. 5
4. 9

Correct answer: 9

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