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Question

Tangents are drawn to the ellipse fraction numerator x to the power of 2 end exponent over denominator 9 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 5 end fraction equals 1 at the ends of the latus rectum. The are of the quadrilateral so formed is

  1. 27    
  2. fraction numerator 13 over denominator 2 end fraction    
  3. fraction numerator 15 over denominator 4 end fraction    
  4. 45    

The correct answer is: 27

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