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A tangent to the ellipse x2 + 4y2 = 4 meets the ellipse x2 + 2y2 = 6 at P and Q. The angle between the tangents at P and Q of the ellipse x2 + 2y2 = 6 is

  1. fraction numerator pi over denominator 2 end fraction    
  2. fraction numerator pi over denominator 3 end fraction    
  3. fraction numerator pi over denominator 4 end fraction    
  4. fraction numerator pi over denominator 6 end fraction    

The correct answer is: fraction numerator pi over denominator 6 end fraction

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