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ExamsJEE MainMaths

Find the focal length (distance between the foci) of the hyperbola x² - 3y² - 4x - 6y - 11 = 0.

  1. 4
  2. 6
  3. 8
  4. 10

Correct answer: 8

Solution

Completing the square gives (x-2)²/12 - (y+1)²/4 = 1 with a² = 12, b² = 4, so c = 4 and the focal length 2c = 8.

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